Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Preliminary Questions - Page 9: 10


$$ f(x)=0.$$

Work Step by Step

Recall that an even function must satisfy: $f(-x)=f(x)$ Recall that an odd function must satisfy: $f(-x)=-f(x)$ The only function that is both even and odd is the zero function $$ f(x)=0.$$ We can see that: $f(-x)=f(x)=-f(x)=0$
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