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



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.
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