Explanation Given: The functions, f ( x ) = x 3 and r ( x ) = ( x + 3 ) 3 + 1 . Graph: Consider the following function. f ( x ) = x 3 For x = − 2 , Substitute − 2 for x . f ( − 2 ) = ( − 2 ) 3 = − 8 For x = − 1 , Substitute − 1 for x . f ( − 1 ) = ( − 1 ) 3 = − 1 For x = 0 , Substitute 0 for x . f ( 0 ) = ( 0 ) 3 = 0 For x = 1 , Substitute 1 for x . f ( 1 ) = ( 1 ) 3 = 1 For x = 2 , Substitute 2 for x . f ( 2 ) = ( 2 ) 3 = 8 Construct a table, for various values of x , for the function, f ( x ) = x 3 . x f ( x ) = x 3 − 2 − 8 − 1 − 1 0 0 1 1 2 8 Consider the function, r ( x ) = ( x + 3 ) 3 + 1 For x = − 2 , Substitute − 2 for x . r ( − 2 ) = ( − 2 + 3 ) 3 + 1 = ( 1 ) 3 + 1 = 2 For x = − 1 , Substitute − 1 for x

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

8th Edition

ISBN: 9780137553464

Author: John Tobey, Jeffrey Slater

Publisher: PEARSON+

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Chapter 10, Problem 23RP

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To graph: The functions f(x)=x3 and r(x)=(x+3)3+1 on one coordinate plane.

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Chapter 10, Problem 22RP

Chapter 10, Problem 24RP

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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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To graph: The functions f ( x ) = x 3 and r ( x ) = ( x + 3 ) 3 + 1 on one coordinate plane.

Solution Summary: The author explains how to graph the functions f(x)=x+3 right3+1 on one coordinate plane. They construct a table for various values of x.

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To graph: The functions f(x)=x3 and r(x)=(x+3)3+1 on one coordinate plane.

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Chapter 10 Solutions