Answer
Yes, but only for $ f(x)=0$
Work Step by Step
If a function $ f(x)$ is both even and odd, we have:
$ f(-x)=f(x)$ and $ f(-x)=-f(x)$.
Add these two equations and we have:
$2f(-x)=0$ and this means $ f(x)=0$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2 - Page 21: 78
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