Answer
odd, symmetric with respect to the origin.
Work Step by Step
Based on the given function, we have
$g(-x)=\frac{2(-x)^3}{(-x)^4+1}=\frac{-2x^3}{x^4+1}=-g(x)$
thus it is odd and symmetric with respect to the origin.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 10 - Systems of Equations and Inequalities - Cumulative Review - Page 817: 7
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
