Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 4 - Applications of the Derivative - 4.2 What Derivatives Tell Us - 4.2 Exercises - Page 258: 91

Answer

See the graph.

Work Step by Step

The graph sketched must be concave up on $(−∞,−2)$ and on $(4,∞)$, and must have a flat tangent line at $x = −1$, $x = 1$, and $x = 3$. A convenient way to ensure that $f(−2) = f(2) = 0$ is to have inflection points occur there. The example to the above is only one possible such graph.
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