(a) Explanation Given: The function, f 1 ( x ) = x 2 + 1 . 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 1 ( x ) = x 2 + 1 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 2 ( x ) = x 2 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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Chapter 1.4, Problem 23PS

(a)

To determine

Whether the function f1(x)=x2+1 is even, odd or neither.

(b)

To determine

Whether the function f2(x)=x2 is even, odd or neither.

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Chapter 1.4, Problem 22PS

Chapter 1.4, Problem 24PS

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Chapter 1 Solutions

Calculus

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Whether the function f 1 ( x ) = x 2 + 1 is even, odd or neither.

Solution Summary: The author analyzes whether the given function f_1(x)=2+1 is even, odd or neither.

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Whether the function f1(x)=x2+1 is even, odd or neither.

Whether the function f2(x)=x2 is even, odd or neither.

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Chapter 1 Solutions