Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Mid-Chapter Check Point - Page 228: 26

Answer

no symmetry

Work Step by Step

Step 1. Graph the function $y=x^3-1$ using a table of test points as shown in the figure. Step 2. We can see that this function is not symmetric with respect to the y-axis, the x-axis, or the origin. Step 3. Testing for function symmetry, we have $f(-x)=(-x)^3-1=-x^3-1$. Since $f(-x)\ne f(x)$ and $f(-x)\ne -f(x)$, we confirm the results from step 2.
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.