Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.1 - Graphs and Models - Exercises: 35

Answer

y=$\frac{x}{x^{2}+1}$

Work Step by Step

Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis. y=$\frac{(-x)}{(-x)^{2}+1}$ y=$\frac{-x}{x^{2}+1}$ Equations are not equivalent, so not symmetric to y-axis. Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis. (-y)=$\frac{x}{x^{2}+1}$ y=$\frac{-x}{x^{2}+1}$ Equations are not equivalent, so not symmetric to x-axis. Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin. (-y)=$\frac{(-x)}{(-x)^{2}+1}$ y=$\frac{x}{x^{2}+1}$ Equations are equivalent, so function symmetric about origin.
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.