Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - Exercises - Page 96: 17


a. neither even nor odd. b. odd c. even d. neither even nor odd.

Work Step by Step

a. $f(-x)=2(-x)^{5}-3(-x)^{2}+2$ $=-2x^{5}-3x^{2}+2$, which is neither $f(x)$ nor $-f(x)$, so the function is neither even nor odd. b, $f(-x)=(-x)^{3}-(-x)^{7}=-x^{3}+x^{7}=-f(x).$ Odd. c. $f(-x)=\cos((-x)^{2})=\cos(x^{2})=f(x)$ Even. d. $f(-x)=1+\sin(-x)=1-\sin x,$ neither even nor odd.
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