Algebra and Trigonometry Enhanced with Graphing Utilities (7th Edition)
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; Put in the equation and solve for to find ... more
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Yes, the expression is polynomial. The degree of ... more
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down; 4. ; The graph of touches the x-axis at . ... more
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Local maxima is and local minima is . ; Plot the ... more
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The real solutions of the equation are the values... more
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The point on the graph of is . The x-intercept is... more
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continuous; smooth. ; The graph of every ... more
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touches ; If the multiplicity of a real zero of a... more
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; The graph of function always contains the ... more
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is a factor of the polynomial;is a real zero/root ... more
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Turning points. ; The point at which a function ... more
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; The graph of is a U-shaped curve as shown ... more
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; As becomes large, the function approximates ... more
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The notation means that, as approaches to large ... more
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The degree is the highest power in the polynomial ... more
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The number of turning points can not be negative... more
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is a polynomial function of degree 3. The standard... more
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is a polynomial function of degree 4. The standard... more
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The function is a polynomial function of degree, ... more
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The function is a polynomial function of degree 1... more
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The function is not a polynomial function due to ... more
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The function is a polynomial function of degree, ... more
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The function is not a polynomial function, ... more
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The function is not a polynomial function, ... more
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The function is a polynomial function of degree, ... more
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The function is not a polynomial function, ... more
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The function is a polynomial function of degree, ... more
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The function is a polynomial function of degree, ... more
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Use the graph of . ; Shift the graph of to the ... more
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Use the graph of . ; Shift the graph of to right... more
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Use the graph of . ; Shift the graph of down by 3... more
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Use the graph of . ; Shift the graph of up by 2 ... more
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Use the graph of . ; Compress the graph of in ... more
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Use the graph of . ; Stretch the graph of ... more
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Use the graph of . ; Reflect the graph of about ... more
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Start with the graph of . Plot the three key ... more
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Start with the graph of . Plot the three key ... more
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Start with the graph of . Plot the three key ... more
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Start with the graph of . Plot the three key ... more
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Start with the graph of . Plot the three key ... more
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Plot the three key points, , , and . The graph ... more
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Start with the graph of . Plot the three key ... more
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; If is a zero with multiplicity of a ... more
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; If is a zero with multiplicity of a ... more
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; If is a zero with multiplicity of a ... more
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; If is a zero with multiplicity of a ... more
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; If is a zero with multiplicity of a ... more
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; If is a zero with multiplicity of a ... more
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; If is a zero with multiplicity of a ... more
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; If is a zero with multiplicity of a ... more
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; Since the zeros are , the factors are , , and... more
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; Since the zeros are , the factors are , , and... more
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; Since the zeros are , the factors are , , and... more
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; Since the zeros are , the factors are , , and... more
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; Since the zeros are and 1, the factors are ... more
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; The zeros of are (multiplicity 2), 0, and 3 (... more
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Could be a polynomial.Real roots: , and Least ... more
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Could be a polynomial.Real roots: and Least ... more
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The graph can not be the graph of a polynomial ... more
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The graph can not be the graph of a polynomial ... more
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; The graph has -intercepts, which represent real... more
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; The graph has -intercepts, which represent real... more
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; The graph has -intercepts, which represent real... more
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; The graph has -intercepts, which represent real... more
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; The graph has -intercepts, which represent real... more
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; The graph has -intercepts, which represent real... more
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; The graph has -intercepts, which represent real... more
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; The graph has -intercepts, which represent real... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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; The graph of the polynomial function looks ... more
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; Since the leading term of the polynomial ... more
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; Since the leading term of the polynomial ... more
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; Since, the leading term of the polynomial ... more
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; Since, the leading term of the polynomial ... more
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; Since, the leading term of the polynomial ... more
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; Since, the leading term of the polynomial ... more
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; Since, the leading term of the polynomial ... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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The end behavior of the function is .The x-... more
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or ; If is a zero of multiplicity of a ... more
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; If is a zero of multiplicity of a polynomial ... more
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; If is a zero of multiplicity of a polynomial ... more
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; If is a zero of multiplicity of a polynomial ... more
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Start by graphing the given function. As ... more
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The graphing of a polynomial function requires to ... more
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; The graph of a polynomial crosses the x-axis ... more
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, . ; The graph of a polynomial crosses the x-... more
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Smooth but not continuous: ,Continuous but not ... more
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True. Every polynomial intersects the y-axis only ... more
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.The polynomial is not unique. ; Choose four ... more
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noyes, which yields the -intercept of a function... more
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; Rewrite the given equation in slope-intercept ... more
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; The function has denominator 0 at . ; Since, ... more
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; For the function , the roots are given by the ... more
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; The equation is equivalent to the two ... more
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; Substitute for in the equation for . ; ... more
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; Find . is the coefficient of and is the ... more
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Quotient: Remainder: ; Use synthetic division ... more
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; Start by setting to 0. ; Since the trinomial ... more
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In , is the remainder. ; In , is the dividend... more
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; The Remainder Theorem states that if is ... more
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In , the sign changes from to . Then, there is ... more
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Since the degree of the polynomial is , the ... more
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; is of the form with . Since is a factor of , ... more
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The dividend is is a polynomial of degree . The ... more
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The remainder is . is a factor of . ; Determine ... more
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The remainder is . is not a factor of . ; Write... more
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The remainder is . is a factor of . ; Determine ... more
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The remainder is . is a factor of . ; Determine ... more
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The remainder is . is a factor of . ; Write in ... more
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The remainder is . is a factor of . ; Write in ... more
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The remainder is . is not a factor of . ; Write ... more
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The remainder is . is a factor of . ; Write in ... more
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The remainder is . is a factor of . ; Determine ... more
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The remainder is . is not a factor of . ; Write ... more
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The maximum number of real zeros is . There are ... more
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The maximum number of real zeros is . There is ... more
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The maximum number of real zeros is . There are ... more
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The maximum number of real zeros is . There is ... more
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The maximum number of real zeros is . There are ... more
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The maximum number of real zeros is . There are ... more
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The maximum number of real zeros is . There is ... more
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The maximum number of real zeros is . There are no... more
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The maximum number of real zeros is . There are... more
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The maximum number of real zeros is . There is ... more
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The maximum number of real zeros is . There are no... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; List all the integers . These are the factors ... more
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; Determine the maximum number of zeros by ... more
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LB: ; UB: 1 ; List the potential rational zeros of... more
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LB: ; UB: 1 ; List the potential rational zeros of... more
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LB: ; UB: 11 ; List the potential rational zeros ... more
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LB: ; UB: 3 ; List the potential rational zeros of... more
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LB: ; UB: 3 ; List the potential rational zeros of... more
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LB: ; UB: 3 ; List the potential rational zeros of... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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; Using the Descartes' Rule of Signs, identify ... more
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The signs of and are opposite. Then, there is at... more
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The signs of and are opposite. Then, there is at... more
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The signs of and are opposite. Then, there is at... more
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The signs of and are opposite. Then, there is at... more
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The signs of and are opposite. Then, there is at... more
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The signs of and are opposite. Then, there is at... more
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Find the – intercept by evaluating when . The... more
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Find the – intercept by evaluating when . The... more
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Find the – intercept by evaluating when . The... more
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Find the – intercept by evaluating when . The... more
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Find the - intercept by evaluating when . The... more
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Find the – intercept by evaluating when . The... more
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Step 1: Step 2:Step 3:Step 4: ; Step 5:Step 6: ; ... more
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Step 1: Step 2:Step 3:Step 4: ; Step 5:Step 6: ; ... more
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; Evaluate when . ; If is a factor of , then... more
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; Evaluate when . ; f is a factor of , then . ... more
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The remainder is . ; Use the Remainder Theorem. ... more
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The remainder is . ; Use the Remainder Theorem. ... more
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Since, then is a factor of . , then is a factor ... more
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Since , then is a factor of . ; Let. Check if is... more
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The sum of the remaining solutions is . ; Divide ... more
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The sum of the remaining solutions is . ; Divide ... more
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The length of the edge of a cube is. ; Let be the ... more
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The length of the edge of a cube can be or ; Let ... more
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All the potential zeros are integers. If is in the... more
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is a factor of the constant term and is a factor ... more
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The zero of correct to three decimal places is. ; ... more
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The graph is increasing on the open intervals and... more
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Sum: Product: ; Write the sum of the two complex ... more
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, ; This function does not factor, so use the ... more
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one ; This is the corollary that follows the ... more
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; By the conjugate pairs theorem, if is a zero, ... more
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The theorem that follows the Fundamental Theorem ... more
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By the Conjugate Pairs Theorem, if is a zero, ... more
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; By the conjugate pairs theorem, if is a ... more
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; By the Conjugate Pairs Theorem, if is a ... more
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, ; By the Conjugate Pairs Theorem, if is a ... more
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; By the Conjugate Pairs Theorem, if is a ... more
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, ; By the Conjugate Pairs Theorem, if is a ... more
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; By the Conjugate Pairs Theorem, if is a ... more
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; By the Conjugate Pairs Theorem, if is a ... more
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, ; By the Conjugate Pairs Theorem, if is a ... more
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, ; By the Conjugate Pairs Theorem, if is a ... more
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, , ; By the Conjugate Pairs Theorem, if is a ... more
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; According to the Conjugate Pairs Theorem, if ... more
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; According to the Conjugate Pairs Theorem, if ... more
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; If is a zero of , then is also a zero of . ... more
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; If is a zero of , then is also a zero of . ... more
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; If is a zero of , then is also a zero of . ... more
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; If is a root of , then is also a root of . ... more
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, 4 ; If is a zero of , then is also a zero of... more
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, ; If is a root of , then is also a root of . ... more
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,, ; If is a root of , then is also a root of... more
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,, ; If is a root of , then is also a root of... more
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,, ; If is a root of , then is also a root of... more
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; If is a root of , then is also a root of . ... more
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, , , ; If is a root of , then is also a root ... more
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, -3, 4, ; If is a root of , then is also a ... more
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Zeros: Factored form of : ; Factor using the ... more
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Zeros: , , , Factored form of : ; Factor using ... more
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Zeros: , , 2Factored form of : ; List the ... more
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Zeros: -5, , Factored form of : ; List the ... more
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Zeros: , , , Factored form of : ; Note that this ... more
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Zeros:, , , Factored form of : ; Note that this ... more
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Zeros: Factored form of : ; List the potential ... more
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Zeros: Factored form of : ; List the potential ... more
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Zeros: Factored form of : ; List the potential ... more
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Zeros: Factored form of : ; List the potential ... more
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130 ; Since , plug this into and solve for . ; ... more
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; Since is a zero of , is also a zero of . ... more
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If is a zero, then is a zero. If is a zero, ... more
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If is a zero, then must also be a zero. But is ... more
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Since already has 3 given zeros, there is only ... more
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Since already has 3 given zeros, there is only one... more
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The given theorem only applies to polynomials with... more
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Plot each point on the coordinate plane. ; more
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-22 ; Square both sides of the equation. ; Solve... more
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; Distribute. ; Simplify. ; more
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Area = square feetCircumference = square feet ; ... more
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A rational function is a function of the form ... more
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Quotient: ; Remainder: ; Divide by . ; Determine... more
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Write the equation in TI-83 calculator for ... more
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Graph the function using a transformation. The ... more
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The domain of the every rational function is the ... more
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Horizontal asymptote ; It is a horizontal line ... more
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Vertical asymptote ; It is vertical lines which ... more
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Proper ; The result is true for all rational ... more
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If the end behavior of the graph occurs as or as... more
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If the end behavior of the graph occurs when is ... more
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; If the degree of the numerator is less than ... more
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If the degree of the numerator is equal to the ... more
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If the degree of the numerator is less than the ... more
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If, as approaches some number , the values , then... more
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; Set the denominator equal to zero, and solve ... more
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; Set the denominator equal to zero and then ... more
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; Set the denominator equal to zero and then ... more
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; Set the denominator equal to zero and then ... more
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; Set the denominator equal to zero and then ... more
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; Set the denominator equal to zero and then ... more
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; Set the denominator equal to zero and then ... more
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. ; Set the denominator equal to zero and then ... more
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. ; Set the denominator equal to zero and then ... more
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. ; Set the denominator equal to zero and then ... more
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; Set the denominator equal to zero and then ... more
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. ; Set the denominator equal to zero and then ... more
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The rational function has a horizontal asymptote... more
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Vertical asymptote: .Horizontal asymptote: .... more
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Vertical asymptote: .Horizontal asymptote: No ... more
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Vertical asymptote: and .Horizontal asymptote: No... more
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Vertical asymptote: and .Horizontal asymptote: .... more
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Vertical asymptote: .Horizontal asymptote: .... more
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Vertical asymptote: .Horizontal asymptote: .... more
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Vertical asymptote: No vertical asymptote.... more
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Vertical asymptote: .Horizontal asymptote: No ... more
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Vertical asymptote: .Horizontal asymptote: No ... more
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If is the real zero of the denominator of the ... more
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If the degree of the denominator is equal to the ... more
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A horizontal asymptote will occur only when the ... more
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. ; The oblique asymptote is .Let us assume that... more
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; Determine the equation of a vertical line ... more
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. ; Determine the value of x from the given ... more
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Symmetric with respect to -axis. ; Determine ... more
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; Determine the point of intersection of the ... more
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The intercepts of the graph are the points... more
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If the degree of the numerator is 2 more than the ... more
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A horizontal asymptote may intersect the graph of ... more
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Set and solve for y to find the -intercept. ; ... more
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These are the zeros of the denominator which makes... more
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2. R is in lowest terms 3. -intercept: NONE, -... more
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2. R is in lowest terms 3. -intercept: , -... more
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2. R is in lowest terms 3. -intercept: , -... more
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2. Q is in lowest terms 3. -intercept: , -... more
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2. R is in lowest terms 4. R is in lowest terms... more
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2. R is in lowest terms 3. -intercept: -1; -... more
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2. P is in lowest terms 3. -intercept : -1, -... more
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2. Q is in lowest terms 3. -intercept: , -... more
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2. R is in lowest terms 3. -intercept: ; -... more
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2. R is in lowest terms 3. -intercept... more
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2. G is in lowest terms 3. -intercept: ; -... more
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2. G is in lowest terms 3. -intercept: , -... more
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2. R is in lowest terms 3. -intercept: ; -... more
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2. R is in lowest terms 3. -intercept: , -... more
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2. H is in lowest terms 3. -intercept: ; -... more
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2. H is in lowest terms 3. -intercept: , -... more
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2. F is in lowest terms 3. -intercept: ; -... more
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2. F is in lowest terms 3. -intercept: , -... more
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... more
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2. R is in lowest terms 3. -intercept: , -... more
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2. F is in lowest terms 3. -intercept: ; -... more
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2. G is in lowest terms 3. -intercept: , -... more
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2. R is in lowest terms 3. -intercept: ; -... more
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2. R is in lowest terms 3. -intercept: NONE, -... more
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2. In lowest terms, 3. -... more
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2. In lowest terms, 3. -... more
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... more
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... more
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2. In lowest terms... more
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2. In lowest terms, 3. -intercept: ; -intercept... more
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2. In lowest terms, 3. -intercept: , -intercept... more
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2. In lowest terms, 3. -intercept: , -intercept... more
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2. In lowest terms, 3. -intercept: , -intercept... more
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2. In lowest terms, 3. -intercept: , -intercept... more
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2. G is in lowest terms 3. -intercept: , -... more
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2. G is in lowest terms 3. -intercept: , -... more
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2. f is in lowest terms 3. -intercept: NONE, -... more
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2. f is in lowest terms 3. -intercept: NONE, -... more
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2. f is in lowest terms 3. -intercept: NONE, -... more
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2. f is in lowest terms 3. -intercept: NONE, -... more
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2. f is in lowest terms 3. -intercept: NONE, -... more
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2. f is in lowest terms 3. -intercept: NONE, -... more
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The possible equation is . ; A rational ... more
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; Let be a rational function. The -intercepts of... more
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The possible equation of the graph is . ; Let be ... more
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The possible equation of the graph is ; The -... more
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As the number of increases, increases. Thus, a ... more
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Start by graphing the basic rational function . ; ... more
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A. B. C. D. No. is not a vertical asymptote ... more
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A.B.C.D. The functions A, B, C, and D are similar... more
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In graphing a rational function, start with ... more
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The degrees of the numerator and the denominator ... more
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The rational function has a degree of for both ... more
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The possible equation of the rational function is... more
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The zeros of the denominator can give rise to a ... more
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; For horizontal subtraction, distribute the ... more
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; Transpose the term on the right side of the ... more
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; Start with finding the value of at which the ... more
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; Start with approximating the values of and . ... more
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; Solve the inequality.Subtract from both sides ... more
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; Subtract from both sides of the inequality. ; ... more
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is not a valid test point. A test point has to be... more
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The graph has an asymptote at . The interval is... more
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; Graph the function . ; When the graph is above ... more
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; Graph the function . ; When the graph is below ... more
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; Graph the function . ; When the graph is above ... more
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; Graph the function, . ; When the graph is above... more
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; Graph the function, . ; When the graph is below... more
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; Graph the function, . ; When the graph is below... more
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, ; Graph the function, ; The graph has ... more
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, ; Graph the function, . ; The graph has ... more
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, ; Graph the function, . ; The graph has an ... more
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, ; Graph the function, . ; The graph has an ... more
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; Find the zeroes of using the zero product ... more
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; Find the zeroes of using the zero product ... more
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; Factor the function . ; Find the zeroes of ... more
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; Factor the function . ; Find the zeroes of ... more
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; Add to both sides of the inequality to get .... more
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; Add to both sides of the inequality. ; Factor ... more
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; Find the zeroes of the expression, , using ... more
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; Find the zeroes of the expression, , using ... more
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; Factor the expression, . ; Find the zeroes of ... more
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; Factor the expression . ; Find the zeroes of ... more
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; Subtract from both sides of the inequality and... more
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; Subtract from both sides of the inequality and... more
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; Subtract from both sides of the inequality and... more
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; Subtract from both sides of the inequality and... more
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; Determine when the function equals zero. ; ... more
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; Determine when the function equals zero. ; ... more
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; Determine when the expression, , equals zero... more
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; Determine when the expression, , equals zero... more
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; Determine when the expression, , equals zero... more
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; Determine when the expression, ,equals zero. ; ... more
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; Subtract from both sides of the inequality to ... more
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; Subtract from both sides of the inequality to ... more
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; Subtract from both sides of the inequality to ... more
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; Subtract from both sides of the inequality to ... more
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; Subtract from both sides of the inequality ... more
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; Subtract from both sides of the inequality ... more
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; Determine where the expression, , equals zero ... more
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; Determine where the expression, , equals zero ... more
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; Determine where the expression, , equals zero ... more
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; Determine where the expression, , equals zero ... more
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; Determine where the expression, , equals zero ... more
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; Determine where the expression, , equals zero ... more
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; Add to both sides of the inequality and ... more
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; Subtract from both sides of the inequality and... more
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; Subtract from both sides of the inequality to ... more
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; Add to both sides of the inequality to get .... more
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; Subtract from both sides of the inequality and... more
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; Subtract from both sides of the inequality and... more
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; Subtract from both sides of inequality and ... more
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; Subtract from both sides of inequality and ... more
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; Factor the expression, .Difference of squares... more
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; Factor the expression, .Difference of squares... more
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; Write the question as an inequality. ; Subtract... more
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; Write the question as an inequality. ; Subtract... more
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; The domain must satisfy the inequality, .Factor... more
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; The domain must satisfy the inequality, .Factor... more
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; The domain consists of all which make the ... more
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; The domain consists of all the which makes the... more
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; Write the inequality as . Simplify the ... more
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; Write the inequality as . Simplify the ... more
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; Write the inequality as . Simplify the ... more
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; Write the inequality as . Simplify the ... more
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; The average cost of creating item B is given by... more
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; The additional cost of $1000-per-day tax is ... more
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; Let the distance of object from the Planet E is... more
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People ; Let be the number of people.The cost of... more
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and ; If is subtracted from both sides of ... more
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is always positive. ; always satisfies the ... more
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No. ; Take a test point from the domain given to ... more
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; Multiply the inequality, , by . ; Simplify the... more
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; Solve the inequality. ; Write the solution in ... more
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; Write ; Expand the square and distribute the... more
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; Factor out the greatest common factor. ; Factor... more
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; Write a direct variation equation where y ... more
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is a polynomial function. It has a degree of . ; ... more
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Graph the base function .To help establish the ... more
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Graph the base function .To help establish the ... more
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Graph the base function .To help establish the ... more
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Graph the base function .To help establish the ... more
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c ; Determine the graph’s end behavior by ... more
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The Degree is . The graph behaves like for large ... more
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The Degree is . The graph behaves like for large ... more
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is not a factor of . ; Note: When is divided by ... more
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is a factor of . ; Note: When is divided by a ... more
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47,105 ; Evaluate . Substitute 4 for in .Perform ... more
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Since , there are positive real zeros, positive ... more
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Since , there is positive real zero.Since , there... more
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; Identify the coefficient of the monomial term ... more
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The zeros of are , and .All of the zeros have a ... more
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The zeros of are with multiplicity , and with ... more
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The zero of is with multiplicity . ; Identify ... more
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; Let be the given function that is equal to ... more
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; Let be the given function that is equal to ... more
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The upper bound is not found. The lower bound is... more
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The upper bound is . The lower bound is . ; ... more
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Since and have opposite signs and is continuous... more
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Since and have opposite signs and is continuous... more
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Following the instruction for the decimal places, ... more
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Following the instruction for the decimal places, ... more
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; Based from the Conjugate Pairs Theorem, the ... more
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; Based from the Conjugate Pairs Theorem, the ... more
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; Let be the given function that is equal to ... more
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; Identify any change in signs from one term to ... more
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; Identify any change in signs from one term to ... more
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; Identify any change in signs from one term to ... more
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and none ; is already in lowest terms, no need to ... more
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none ; Simplify to lowest terms.Factor the ... more
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1. 2. is in lowest terms.3. The -intercept is .... more
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1. is already in factored form. 2. is already in ... more
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1. 2. is in lowest terms. 3. The -intercepts are... more
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is in lowest terms.The -intercept is .The -... more
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1. 2. is in lowest terms. 3. The -intercept is .... more
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1. 2. 3. The -intercept is .The -intercept is .... more
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; Rearrange the inequality to have zero only on ... more
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; Rearrange the inequality to have zero only on ... more
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; Rearrange the inequality to have zero only on ... more
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; Let be the factored form.Set the numerator ... more
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Rearrange the inequality to have zero only on the ... more
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Graph the base function .To help establish the ... more
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; Factor by grouping to find all the zeros.Set ... more
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; Move all the terms on the left side of the ... more
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; Express in factored form. ; Determine the ... more
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; Express in factored form.is already in lowest ... more
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in lowest terms and the domain are given here... more
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; Based from the Conjugate Pairs Theorem, the ... more
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; Based from the given domain restrictions, ... more
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Since and have opposite signs and is continuous... more
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; Rearrange the inequality to have zero only on ... more
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; Let point have the coordinates and point ... more
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; Rearrange the inequality to have only only on ... more
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; Rearrange the inequality to have zero only on ... more
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Since the slope and a point are given, use the ... more
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The given linear equation is in the form , where ... more
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Set and solve for each value of to help ; ... more
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No, it is not a function. ; It is not a function ... more
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; Express the given equation in factored form. ; ... more
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; Find the value of . ; Write the solution set ... more
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Complete the square to change the equation of the ... more
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-intercepts: , and -intercept: Symmetry: Origin... more
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; Rearrange the given equation into the slope-... more
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No, it is not a function. ; It is not a function ... more
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To graph a linear function (Degree: ), identify ... more
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A parabola is defined by the general equation , ... more
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; Evaluate and . ; Use the formula for the ... more
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The function is odd. ; To check if the function is... more
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Graph the base function .To help establish the ... more
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Latitude (°N)Hours light (hours) ; The first ... more
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The first and second columns are treated as pairs ... more
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The linear function doesn't exactly describe the ... more
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The quadratic function doesn't exactly describe ... more
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The cubic function accurately describes the ... more
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The cubic model best fits the particular set of ... more
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Actual value: The two values are very close to ... more