Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.8 Intermediate Value Theorem - Preliminary Questions - Page 86: 2

Answer

We must assume that temperature is a continuous function of time.

Work Step by Step

Assuming a continuous function allows us to use the Intermediate Value Theorem to conclude that the function can not skip values and must take on a value in between the end points.
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