Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.1 - Functions and Their Graphs - Exercises 1.1: 48

Answer

The function is odd.

Work Step by Step

$f(x)=x^{-5}=\frac{1}{x^5}$ $f(-x)=(-x)^{-5}=-\frac{1}{x^5}$ $f(x)\ne f(-x)$ - The function is not even. $f(-x)=-f(x)$ - The function is odd.
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