Precalculus (6th Edition) Blitzer

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

Chapter 1 - Review Exercises - Page 301: 39


The function is an odd function.

Work Step by Step

A function is even when it is symmetric about the $y\text{-}$ axis. A function is odd when it is symmetric about the origin. A function that is not symmetric about the origin or the $y\text{-}$ axis is neither an even function nor an odd function. The graph is clearly symmetrical about the origin; hence, the function $f\left( x \right)$ is an odd function. Hence, the function is an odd function.
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