Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 23: 73


the function f is an odd function

Work Step by Step

Calculate $f(t)$ and $f(-t)$ $f(t)=\frac{t}{t^{2}+1}$ $f(-t)=\frac{-t}{(-t)^{2}+1}=-\frac{t}{t^{2}+1}$ therefore we can see that the function f is an odd function that satisfies $f(-x)=-f(x)$ for every x in the domain.
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