Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - 0.2 New Functions From Old - Exercises Set 0.2 - Page 25: 45

Answer

True

Work Step by Step

A function is an even function if and only if $f(-x)=f(x)$. For a function $g(x)$ to be symmetric about the y-axis, $g(x)$ and $g(-x)$ must have the same value or in other words, $g(x)=g(-x)$. This is clearly true from the definition of an even function.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.