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 - Page 13: 65

Answer

$a.\:\:\:h$ $b.\:\:\:f$ $c.\:\:\:g$

Work Step by Step

Observe the given functions in terms of the $\:x\:$ power. We come to notice that the function $\:y=x^7\:$ is an odd function among the three. It is represented by $\:f(x).$ Although $\:g\:\:\mathrm{and}\:\:h\:$ are both even functions, $\:g\:$ is more flat around the origin $\:(0,0)\:$ and has a larger slope for bigger values of $\:x.$ Therefore, $\:g(x)=x^{10}\:$ (the function represented in yellow) and $\:h(x)=x^4$ (the function represented in blue).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.