Answer
See graph and explanations.
Work Step by Step
As shown in the figure, the piece-wise function is not continuous, yet it has both an absolute maximum and an absolute minimum. So, the answer is no.
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 4: Applications of Derivatives - Additional and Advanced Exercises - Page 245: 2
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