(a) Explanation Given: The function, f 5 ( x ) = | x | Concept Used: A function f ( x ) is said to be even if, f ( − x ) = f ( x ) A function f ( x ) is said to be odd if, f ( − x ) = − f ( x ) Calculation: Consider the function, f 5 ( x ) = | x | In order to check whether the given function is even, odd, or neither, we will replace x by − x in the given function and check if any of even or odd function condition satisfies (b) To determine Whether the function f 6 ( x ) = | x + x 3 | is even, odd or neither.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 1.4, Problem 25PS

(a)

To determine

Whether the function f5(x)=|x| is even, odd or neither.

(b)

To determine

Whether the function f6(x)=|x+x3| is even, odd or neither.

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Chapter 1.4, Problem 24PS

Chapter 1.4, Problem 26PS

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Chapter 1 Solutions

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Whether the function f 5 ( x ) = | x | is even, odd or neither.

Solution Summary: The author analyzes whether the function f_5(x)= left|x|right| is even, odd, or neither.

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Whether the function f5(x)=|x| is even, odd or neither.

Whether the function f6(x)=|x+x3| is even, odd or neither.

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Chapter 1 Solutions