Calculus: Early Transcendentals (2nd Edition)

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

Chapter 4 - Applications of the Derivative - 4.1 Maxima and Minima - 4.1 Exercises: 3

Answer

The function must be continuous

Work Step by Step

For an absolute maximum or minimum value to exist, the function must be continuous. If discontinuous, the function may approach $\infty$ or $-\infty$ on the interval, and thus, an absolute maximum or minimum doesn't exist
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