Answer
The Mean Value Theorem cannot be applied.
Work Step by Step
$f(x)$ is not differentiable over the open interval. $f(x)$ is not differentiable at $x=-\dfrac{1}{2}$ and hence the Mean Value Theorem cannot be applied.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 3 - Applications of Differentiation - 3.2 Exercises - Page 175: 43
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