Precalculus (6th Edition) Blitzer

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

Chapter 2 - Review Exercises - Page 430: 31

Answer

$x=-5$ (multiplicity 1), crosses the x-axis. $x=5$ (multiplicity 2), touches the x-axis and turns around.

Work Step by Step

Step 1. Factor the given function as $f(x)=x^2(x-5)-25(x-5)=(x-5)^2(x+5)$ Step 2. We can identify its zeros as $x=-5$ (multiplicity 1) and $x=5$ (multiplicity 2). Step 3. For $x=-5$, the graph crosses the x-axis. Step 4. For $x=5$, the graph touches the x-axis and turns around.
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.