Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry - 1.2 Assess Your Understanding - Page 17: 48

Answer

The intercepts are (-4, 0), (0, 0), and (4, 0). The graph is symmetric with respect to the origin.

Work Step by Step

From the given graph, we can identify that the intercepts are (- 4, 0) (0, 0) and (4, 0). The x- intercepts are - 4 and 4. The x-intercepts have y coordinates equal to 0. If a graph is symmetric with respect to the origin and if the point (x, y) is on the graph, then the point (-x, -y) is on the graph. Also if the point (-x, y) is on the graph, then the point (x, -y) is also on the graph. The given graph is symmetric with respect to the 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.