Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.4 - Concavity and Curve Sketching - Exercises 4.4 - Page 214: 95

Answer

See graph and explanations.

Work Step by Step

Translate the given table into function behaviors: $x\lt2$: Decrease, concave up; $x=2$: Minimum, concave up; $2\lt x\lt4$: Increase, concave up; $x=4$: Increase, inflection; $4\lt x\lt6$: Increase, concave down; $x=6$: Maximum, concave down; $x\gt6$: Decrease, concave down. Graph the function as shown in the figure.
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