College Algebra (10th Edition)

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

Chapter 3 - Section 3.3 - Properties of Function - 3.3 Assess Your Understanding: 36

Answer

(a) maximum at $(0,1)$ (b) minimum at $(-\pi,-1)$ and $(\pi,-1)$

Work Step by Step

(a) We see from the graph that $f$ has a local maximum at $(0,1)$ (b) We see from the graph that $f$ has a local minimum at $(-\pi,-1)$ and $(\pi,-1)$ Recall, a local minimum occurs when the slope changes from negative to positive while a local maximum occurs when the slope changes from positive to negative.
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