College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.1 - Polynomial Functions and Models - 5.1 Assess Your Understanding - Page 338: 8

Answer

Touches.

Work Step by Step

Since r is a zero, and the multiplicity is even, then the graph must touch the zero since it cannot cross it. An even multiplicity means the end behavior for positive and negative infinity is the same. Therefore, the graph must stay on the same side of the x-axis, so the graph must touch the zero and not pass through it.
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