Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Cumulative Review Exercises - Page 1127: 4


The above graph is neither even nor odd.

Work Step by Step

We know that an even function equates $ f\left( -x \right)=f\left( x \right)$, while an odd function satisfies $ f\left( -x \right)=-f\left( x \right)$; that is, it is the same in the 1st and the 3rd quadrant. One can observe that the graph has no symmetry about the y-axis nor symmetry about the origin. Thus, the provided graph is neither even nor odd.
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