University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 4 - Section 4.1 - Extreme Values of Functions - Exercises - Page 215: 5

Answer

We have an absolute max at $c$ and an absolute min at $a$. The results are consistent with Theorem 1.

Work Step by Step

We have an absolute max at $c$ and an absolute min at $a$. The function is not continuous, so by Theorem 1, extreme values are not guaranteed. They may still occur, as in this case.
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