Algebra and Trigonometry Enhanced with Graphing Utilities (7th Edition)
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; Plug into . ; ; Simplify. ; more
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; The domain of is everywhere that the ... more
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Composite function ; ; more
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By definition, , so , which is not equal to . ; By... more
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is ; The argument in the square root has been ... more
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The domain of is the set of all numbers in the ... more
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; Plug into . ; Plug into . ; more
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; To find the inner function, , look at the inner... more
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; To find the inner function, , look at the inner... more
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; To find the inner function, , look at the ... more
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; To find the inner function, , look at the inner... more
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; To find the inner function, , look at the inner... more
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; To find the inner function, , look at the inner... more
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; Plug into . ; Simplify. ; Since , plugging ... more
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; Find . ; To simplify, multiply the numerator ... more
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; Find . ; To simplify, multiply the numerator ... more
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; Substitute into . ; If the function above ... more
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; The surface area is given in terms of . To find... more
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; The volume is given in terms of . To find ... more
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; The function C is given in terms of . To find C... more
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; The formula for the area of a circle is . To ... more
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; The function C is given in terms of . To find C... more
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; The function is given in terms of . To find ... more
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; Write an equation relating the height and the ... more
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; Write an equation relating the height and the ... more
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and represents the total pay after taxes are ... more
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15 ; Since , substitute into and set the result ... more
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; First, use the definition of composite ... more
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; To determine if is odd or even, find . ; By ... more
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, domain , domain , domain , domain ; Using the ... more
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; To find the real zeros, set the function equal ... more
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Local minimum: Local maximum: Increasing: ... more
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The domain is Horizontal Asymptote: noneVertical ... more
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Yes, because the x-coordinates of the ordered ... more
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The graph is increasing for . It is decreasing for... more
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The domain of is the set of all real numbers ... more
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; Multiply both numerator and denominator by to ... more
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; In a one-to-one function, two different inputs ... more
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one-to-one ; A function is considered to be a one-... more
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; The domain of a one-to-one function is the ... more
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; The graphs of a one-to-one function and its ... more
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; The domain of a one-to-one function is the ... more
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The domain of a function is the range of its ... more
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The x-coordinate of a point of a one-to-one ... more
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This is the domain of the one-to-one function. ; ... more
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Since no two elements in the domain correspond to ... more
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Since no two elements in the domain correspond to ... more
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Since two elements in the domain ( Hours and ... more
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There are more than one element in the domain, ... more
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There are more than one -coordinate, and , that ... more
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Each -coordinate corresponds to exactly one -... more
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Each -coordinate corresponds to exactly one -... more
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Each -coordinate corresponds to exactly one -... more
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Every horizontal line intersects the graph in at ... more
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Every horizontal line intersects the graph in at ... more
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Horizontal lines intersect the graph in more than ... more
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Horizontal lines intersect the graph in more than ... more
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Every horizontal line intersects the graph in at ... more
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A horizontal line can be superimposed on the graph... more
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The inverse of the function is: Annual ... more
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The inverse of the function is: Domestic Gross (... more
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The inverse of the function is: Monthly CostAge ... more
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The inverse of the function is: Unemployment ... more
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The inverse of the function is . The domain of the... more
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The inverse of the function is . The domain of the... more
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The inverse of the function is . The domain of the... more
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The inverse of the function is . The domain of the... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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The functions f and g are inverse functions of ... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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Graph the line . ; Determine the points that are ... more
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Graph the line . ; Determine the points that are ... more
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Graph the line ; Determine the points that are ... more
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Graph the line ; Determine the points that are ... more
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Graph the line ; The curve has a horizontal ... more
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Graph the line ; The graph given is the function... more
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; The output of an inverse function is the input ... more
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; The output of an inverse function is the input ... more
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The domain of is .The range of is . ; The domain... more
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The domain of is .The range of is . ; The domain... more
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The domain of is .The range of is . ; The domain... more
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The domain of is .The range of is . ; The domain... more
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The graph of is increasing on the interval . ; ... more
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The graph of is decreasing on the interval . ; ... more
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The inverse is ; Replace with in the equation of... more
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The inverse is . ; Replace with in the equation ... more
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The graph of lies in quadrant I. ; Graph a line ... more
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The graph of lies in quadrant IV. ; Graph a line ... more
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Make domain . The inverse is , . ; The graph of ... more
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Make the domain . The inverse is . ; Graph . The ... more
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.if . ; Replace with in the equation of the ... more
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Yes, a one-to-one function and its inverse can be ... more
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Graph the line by plotting various points with ... more
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; As seen in the graph the piecewise function is ... more
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No. Consider the function . It is an odd function ... more
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represents the number of cars manufactured at the ... more
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The horizontal-line test can be used to identify ... more
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Some functions have inverses that are not ... more
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Determine the graph of ; The graph of the ... more
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The zeros of the function are and .The x-... more
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The domain is .The horizontal asymptote is .The ... more
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; Given , find by substituting to every in . ... more
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; In the first expression, 4 has to be multiplied... more
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; Transpose to the left side of the equation. ... more
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In the function of the form , the graph of is ... more
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; The average rate of change can be determined by... more
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The degree of the numerator is the same as the ... more
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exponential function; growth factor; initial value... more
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; Solve for the value of the expression by ... more
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Any real number when substituted into the ... more
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One property of an exponential function is that it... more
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; One property of the graph of the exponential ... more
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; Since the two exponential functions are equal ... more
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The graphs of exponential functions with different... more
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The base of the exponential function, , is less ... more
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The range of the exponential function does not ... more
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; In a calculator, press the left parenthesis key... more
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; In a calculator, press the left parenthesis key... more
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; In a calculator, enter , press the left ... more
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; In a calculator, enter , press the left ... more
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; In a calculator, enter the base , press the ... more
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; In a calculator, enter , press the ... more
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; In a calculator, enter , press the ... more
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Neither. ; Compute the average rate of change of ... more
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Linear. The linear function that models the data ... more
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Exponential. The exponential function that models ... more
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Exponential. The exponential function that models ... more
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Exponential. The exponential function that models ... more
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Neither. ; Compute the average rate of change of ... more
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Linear. The linear function that models the data ... more
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Exponential. The exponential function that models ... more
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Knowing that the graph of contains the points , ... more
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Domain: All real numbers.Range: .Horizontal ... more
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Knowing that the graph of contains the points , ... more
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Domain: All real numbers.Range: .Horizontal ... more
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Knowing that the graph of contains the points , ... more
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Knowing that the graph of contains the points , ... more
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, determine these points for the function Knowing ... more
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; Check if the expressions on both sides of the ... more
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; Check if the expressions on both sides of the ... more
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; Using the Laws of Exponents, determine the ... more
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; Using the Laws of Exponents, determine the ... more
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; Using the Laws of Exponents, determine the ... more
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; Using the Laws of Exponents, determine the ... more
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; Using the Laws of Exponents, determine the ... more
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; Using the Laws of Exponents, determine the ... more
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; Check if it is an increasing or decreasing ... more
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; Check if it is an increasing or decreasing ... more
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; Check if the graph is a reflection about the x-... more
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; Check if the graph is a reflection about the x-... more
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; Given the equation of the horizontal asymptote... more
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; Given the equation of the horizontal asymptote... more
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Domain: All real numbers.Range: .Intercept: . ; ... more
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Domain: All real numbers.Range: .Intercept: . ; ... more
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Domain: All real numbers.Range: .Intercept: . ; ... more
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Domain: All real numbers.Range: .Intercept: . ; ... more
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mg; mg ; Substitute to the given function. ... more
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students ; Substitute and ; Calculate . ; more
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; Substitute to the given function. ; Substitute... more
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Value The results are lower than the value of ... more
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; Substitute and to the expression. ; Use the ... more
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Value of ; Substitute to the equation. Use the ... more
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minutes ; The exponential function is . where is ... more
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The number is an irrational number that has a ... more
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There is no power function that increases more ... more
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For , the graph increases more rapidly as the base... more
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The graphs are identical because the expressions ... more
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; Transfer all terms to the left side of the ... more
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; Transfer to the left side of the equation. ; ... more
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; can be used to obtain the quadratic function ... more
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or ; Identify the reference function for the ... more
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; Subtract from both sides. ; Simplify. ; more
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or ; The function has a domain of given that ... more
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; It's easier to understand this problem by using... more
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1 ; The graph of is increasing when .is ... more
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If , then . ; If , then . ; more
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Use the exponential form and substitute . This ... more
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Convert to .Remember that .This means that its ... more
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There is no logarithmic function with this domain... more
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; Change the given numbers to their exponential ... more
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; Change the given numbers to its exponential ... more
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; Convert both sides of the equation to ... more
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; Convert both sides of the equation to ... more
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; Convert both sides of the equation to ... more
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; Convert both sides of the equation to log base ... more
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; Convert both sides of the equation to natural ... more
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; Convert both sides of the equation to natural ... more
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; Change the given expression to its logarithmic ... more
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; Change the given expression to its logarithmic ... more
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; Change the given expression to its logarithmic ... more
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; Change the given expression to its logarithmic ... more
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; Change the given expression to its logarithmic ... more
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; Change the given expression to its logarithmic ... more
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; Change the given expression to its logarithmic ... more
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; Change the given expression to its logarithmic ... more
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; Any number raised to the power of zero is ... more
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; Any number raised to the power of one is equal... more
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; can be expressed as . ; Move the exponent ... more
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; can be expressed as . ; can be expressed as... more
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; can be expressed as . ; can be expressed as... more
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; can be expressed as . ; Move the exponent ... more
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; can be expressed as . ; Move the exponent ... more
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; can be expressed as . ; Move the exponent ... more
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; can be expressed as . ; Move the exponent ... more
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; Move the exponent outside of the logarithm. ; ... more
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; The domain of logarithmic functions are ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The expression inside the logarithm should be ... more
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; The number inside the square root should NOT be... more
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; The expression inside the logarithm should be ... more
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; Enter the given digits in the calculator to get... more
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; Enter the given digits in the calculator to get... more
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30.099 ; Enter the given digits in the calculator ... more
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; Insert the given point to . ; Convert to ... more
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; Insert the given point to . ; Convert to ... more
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Find the values of at ; Find the values of at... more
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Find the values of at . ; Find the values of at... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to logarithmic form. Remember, means... more
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; Convert to logarithmic form. Remember, means... more
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; Convert to logarithmic form. Remember, means... more
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; Convert to logarithmic form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Convert to exponential form. Remember, means... more
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; Rewrite the expression to look like by ... more
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; Rewrite the expression to look like by ... more
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; Rewrite the expression to look like by ... more
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; Rewrite the expression to look like by ... more
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Domain: Range: x-intercepts: and ; Compute values... more
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Domain: Range: x-intercept: ; Compute values of ... more
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Domain: Range: x-intercept: ; Compute values of ... more
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Domain: Range: x-intercept: ; Compute values of ... more
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About hours ; Substitute 2 for in the given ... more
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About days ; Substitute and into the given ... more
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About seconds; about seconds ; Substitute into ... more
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dB ; Substitute and into the given equation. ; ... more
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dB ; Substitute and into the given equation. ; ... more
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dB ; Substitute and into the given equation. ; ... more
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dB ; Use the equation to first find the intensity ... more
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About ; Substitute and into the given function... more
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About ; Substitute and into the given function... more
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No; a close function to a logarithmic function is ... more
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When rewritten in exponential form, the equation ... more
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The best time to trade in the car is after 4 years... more
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Zeroes: ; -intercepts: ; The given equation is in ... more
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; Evaluate at and . ; Write the values as ... more
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; Evaluate the ends of the given interval: and... more
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; Complex zeros always come in conjugate pairs. ... more
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; Assume .Change to exponential form. ; more
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; Assume . Change to exponential form. ... more
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; Write the expression as the product of the ... more
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, ; The logarithm of the product of variables ... more
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, ; The logarithm of division of two variables ... more
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; When the argument of a logarithm (in this case... more
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; Use the change of base formula in reverse. ... more
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Apply the division rule of logarithms to since ... more
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Apply the product rule of logarithms. Rewrite the... more
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Apply the division rule of logarithms. Since is ... more
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cannot be simplified. ; Assume a variable for . ... more
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This expression cannot be simplified further. ; ... more
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; Apply the property (2) of logarithms to the ... more
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; Express the term as a product of the power and ... more
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; Rewrite the term as a product of the power and ... more
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; Express the term as a product of the power and ... more
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; Assume a variable for the exponent. ; Write the... more
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; Assume a variable for . ; Write in exponential... more
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; Apply the product rule of logarithms. ; ... more
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; Apply the division rule of logarithms. ; ... more
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; Express 8 as a power of 2. ; Write as a ... more
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2 ; Express as a power of . ; Express as a ... more
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; Apply the product rule of logarithms to the ... more
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4 ; Let and express it in exponential form.Then ... more
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3 ; Let and express it in exponential form.Then ... more
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; Rewrite as a product of factors. ; Apply the ... more
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; Apply the division rule of logarithms to write ... more
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; Rewrite 1.5 as . ; Apply division property of ... more
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; Express as a fraction. ; Apply the division ... more
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; Express as a power of . ; Express as a ... more
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; Express as a power of . ; Express as a ... more
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; Express the radical as an exponent. ; Express ... more
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; Express the radical as an exponent. ; Express ... more
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; Express as the sum of logarithms by applying ... more
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; Apply the division rule of logarithms to ... more
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; Express as a product of the exponent and ... more
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; Express as a product of the exponent and ... more
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; Apply the product property of logarithms. ; ... more
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; Apply the division rule of logarithms. ; ... more
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; Apply the division rule of logarithms. ; ... more
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; Express the term as sum of logarithms using ... more
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; Apply the product rule of logarithms. ; Express... more
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; Express the term as a difference of logarithms... more
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; Apply the product rule of logarithms. ; Express... more
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; Apply the product rule of logarithms to express... more
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; Express as difference of logarithms by applying... more
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; Apply the division rule of logarithms to ... more
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; Apply the division rule of logarithms to ... more
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; Apply the division rule of logarithms. ; Apply ... more
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; Express the term as a product of the exponent ... more
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; Express as the difference of logarithms by ... more
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; Factor . ; Substitute into the given equation... more
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Let and Substitute the values in the given ... more
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domain: range: ; Graph the parent function .The ... more
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effective rate of interest ; This is the ... more
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billion;billion ; Substitute , , and to the ... more
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years ; Substitute and to the inflation formula... more
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minutes ; The temperature of a heated object at a... more
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neither ; Recall that the two lines are parallel ... more
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$20398.874.04%17.5 years ; Use the CI formula:... more
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7.204 g; 0.519 g ; Use the formula for exponential... more
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Honda Accord EXE.SG.SF.S0$26,4261$22,117$20,617$... more
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represents the initial price.represents the ... more
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