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 - Page 233: 59

Answer

Images: global and zoomed-in views. Local maximum: $0.19$ at $x=-0.77$ Local minimum: $-0.19$ at $x=0.77$ $f$ is increasing on: $(-2,-0.77)$ and $(0.77,2)$ ; $f$ is decreasing on: $(-0.77,0.77)$
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Work Step by Step

(graphed with desmos.com). A local maximum at x=c exists if there is an interval around c such that f(c) is the largest function value on that interval. A local minimum at x=c exists if there is an interval around c such that f(c) is the lowest function value on that interval.
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