Exam 9: New Functions From Old

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Use the tables to evaluate . Use the tables to evaluate .      Use the tables to evaluate .

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Find a polynomial function with horizontal intercepts 2, 4, and 5 and vertical intercept 120. Write your answer in factored form, Find a polynomial function with horizontal intercepts 2, 4, and 5 and vertical intercept 120. Write your answer in factored form,   with .   with . Find a polynomial function with horizontal intercepts 2, 4, and 5 and vertical intercept 120. Write your answer in factored form,   with .

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Which equation describes the graph Which equation describes the graph

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What values cannot be in the domain of this function? What values cannot be in the domain of this function?

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Evaluate Evaluate   where   and   Give a decimal answer. Round your answer to 2 decimal places, if necessary. where Evaluate   where   and   Give a decimal answer. Round your answer to 2 decimal places, if necessary. and Evaluate   where   and   Give a decimal answer. Round your answer to 2 decimal places, if necessary. Give a decimal answer. Round your answer to 2 decimal places, if necessary.

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Start up costs for a small business are $100,000. Each product costs $2.50 to produce. Construct a function for the total cost of producing x products.

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Choose the description that describes the end behavior of the graph of . Choose the description that describes the end behavior of the graph of .

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Evaluate the expression for x = 40. (Round the answer to two decimal places if necessary.) Evaluate the expression for x = 40. (Round the answer to two decimal places if necessary.)

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Determine which statement is true for Determine which statement is true for

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Find a polynomial function with horizontal intercepts 1, 2, 3, 4, and 7 and vertical intercept -168. Write your answer in standard form, . Find a polynomial function with horizontal intercepts 1, 2, 3, 4, and 7 and vertical intercept -168. Write your answer in standard form, .

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Find the domain of the function Find the domain of the function

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State the degree of the function: State the degree of the function:

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Which polynomial function describes the graph Graph

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If f(x) = 4x and g(x) = 2x, evaluate . If f(x) = 4<sup>x</sup> and g(x) = 2<sup>x</sup>, evaluate .

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A new virus has been discovered and is spreading through the population of a small island nation. It is estimated that each person who is infected will spread the virus to 6 people each day. Construct a function to model the number of people infected after t days if the virus started with just one person on day 1.

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Select the equation whose graph is the graph of Select the equation whose graph is the graph of   vertically stretched by a factor of 8. vertically stretched by a factor of 8.

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Find the horizontal intercepts of the function . Find the horizontal intercepts of the function .   Write your answers   in ascending order .   Write your answers Find the horizontal intercepts of the function .   Write your answers   in ascending order .   in ascending order . Find the horizontal intercepts of the function .   Write your answers   in ascending order .

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Select the choice which best describes the graph of . Select the choice which best describes the graph of .

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Evaluate Evaluate   where   and   Give a decimal answer. Round your answer to 2 decimal places, if necessary. where Evaluate   where   and   Give a decimal answer. Round your answer to 2 decimal places, if necessary. and Evaluate   where   and   Give a decimal answer. Round your answer to 2 decimal places, if necessary. Give a decimal answer. Round your answer to 2 decimal places, if necessary.

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For the function For the function   identify any horizontal asymptotes.  Enter the equation of the asymptote   , use reduced fractions. identify any horizontal asymptotes. Enter the equation of the asymptote For the function   identify any horizontal asymptotes.  Enter the equation of the asymptote   , use reduced fractions. , use reduced fractions.

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