University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

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

Answer

Odd.

Work Step by Step

Odd functions are those, where f(-x)=-f(x). Here, $x^{-5}=\frac{1}{x^{5}}$, therefore $f(-x)=\frac{1}{(-x)^{5}}=-\frac{1}{x^{5}}$ and $-f(x)=-\frac{1}{x^{5}}$, which are equal, therefore the function is odd.
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