Explanation Given: The functions are f ( x ) = 2 x , x ≠ 0 and r ( x ) = 2 x + 3 − 2 , x ≠ − 3 . Graph: Consider the following function: f ( x ) = 2 x For x = − 2 , Substitute − 2 for x . f ( − 2 ) = 2 − 2 = − 1 For x = − 1 , Substitute − 1 for x . f ( − 1 ) = 2 − 1 = − 2 For x = − 3 , Substitute − 3 for x . f ( − 3 ) = 2 − 3 = − 0.6 For x = 1 , Substitute 1 for x . f ( 1 ) = 2 1 = 2 For x = 2 , Substitute 2 for x . f ( 2 ) = 2 2 = 1 Construct a table, for various values of x , for the function, f ( x ) = 2 x , x ≠ 0 . x f ( x ) = 2 x − 3 − 0.6 − 2 − 1 − 1 − 2 1 2 2 1 Consider the function, r ( x ) = 2 x + 3 − 2 For x = − 2 , Substitute − 2 for x . r ( − 2 ) = 2 − 2 + 3 − 2 = 2 1 − 2 = 0 For x = − 1 , Substitute − 1 for x

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 10, Problem 25RP

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To graph: The functions f(x)=2x,x≠0 and r(x)=2x+3−2,x≠−3 on one coordinate plane.

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Chapter 10, Problem 24RP

Chapter 10, Problem 26RP

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Chapter 10 Solutions

Intermediate Algebra (8th Edition)

Ch. 10.1 - For the function f ( x ) = 3 x − 5 , find the...Ch. 10.1 - For the function , find the following. 2. Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - For the function , find the following. 7. Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

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Concept Check Explain how you can use a...Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - For the following functions, find (a) ( f + g ) (...Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - For the following functions, find (a) and (b)...Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Let , and . Find the following: 24. 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To graph: The functions f ( x ) = 2 x , x ≠ 0 and r ( x ) = 2 x + 3 − 2 , x ≠ − 3 on one coordinate plane.

Solution Summary: The author explains the functions f(x)=2x,x

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To graph: The functions f(x)=2x,x≠0 and r(x)=2x+3−2,x≠−3 on one coordinate plane.

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Chapter 10 Solutions