Explanation Given: The functions are f ( x ) = | x | and g ( x ) = | x − 4 | . Graph: Consider the following function: f ( x ) = | x | . For x = − 2 , Substitute − 2 for x . f ( − 2 ) = | − 2 | = 2 For x = − 1 , Substitute − 1 for x . f ( − 1 ) = | − 1 | = 1 For x = 0 , Substitute 0 for x . f ( 0 ) = | 0 | = 0 For x = 1 , Substitute 1 for x . f ( 1 ) = | 1 | = 1 For x = 2 , Substitute 2 for x . f ( 2 ) = | 2 | = 2 Construct a table, for various values of x , for the function, f ( x ) = | x | . x f ( x ) = | x | − 2 2 − 1 1 0 0 1 1 2 2 Consider the function, g ( x ) = | x − 4 | . For x = − 2 , Substitute − 2 for x . g ( − 2 ) = | − 2 − 4 | = | − 6 | = 6 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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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 10, Problem 21RP

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To graph: The functions, f(x)=|x| and g(x)=|x−4| on one coordinate plane.

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Chapter 10, Problem 20RP

Chapter 10, Problem 22RP

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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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To graph: The functions, f ( x ) = | x | and g ( x ) = | x − 4 | on one coordinate plane.

Solution Summary: The author explains how to graph the functions, f(x)= left|x.

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To graph: The functions, f(x)=|x| and g(x)=|x−4| on one coordinate plane.

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Chapter 10 Solutions