Explanation Definition used: Even Function: The graph of y = f ( x ) is symmetric with respect to the y -axis if, for every point ( x , y ) on the graph, the point ( − x , y ) is also on the graph that is, f ( − x ) = f ( x ) for all x in the domain of f . Such a function is called even function. Odd Function: The graph of y = f ( x ) is symmetric with respect to the origin if, for every point ( x , y ) on the graph, the point ( − x , − y ) is also on the graph that is, f ( − x ) = − f ( x ) for all x in the domain of f . Such a function is called an odd function. Calculation: To test the given function f ( x ) = | x − 2 | is even, odd, or neither

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

5th Edition

ISBN: 9780134179025

Author: Ronald J. Harshbarger, Lisa S. Yocco

Publisher: PEARSON

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Chapter 4.1, Problem 48E

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To test: Whether the function f(x)=|x−2| is even, odd, or neither.

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Chapter 4.1, Problem 47E

Chapter 4.1, Problem 49E

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Chapter 4 Solutions

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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To test: Whether the function f ( x ) = | x − 2 | is even, odd, or neither.

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To test: Whether the function f(x)=|x−2| is even, odd, or neither.

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Chapter 4 Solutions