Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 3 - Differentiation - 3.2 Exercises - Page 174: 25

Answer

Rolle's Theorem cannot be applied.

Work Step by Step

From the graph, it is obvious that the function is continuous and differentiable over the specified interval. However, since $f(-\frac{1}{4})\ne f(\frac{1}{4})$ Rolle's Theorem cannot be applied. A graphing utility was used to graph the function.
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