Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.5 - Continuity - 2.5 Exercises - Page 125: 50

Answer

In graph A, the function does not satisfy the conclusion of the Intermediate Value Theorem. In graph B, the function satisfies the conclusion of the Intermediate Value Theorem, even though it does not satisfy the hypothesis.

Work Step by Step

In graph A, there is no point $c$ in the interval $[0,1]$ such that $f(c) = 2$ This function does not satisfy the conclusion of the Intermediate Value Theorem. In graph B, there is a point $c$ in the interval $[0,1]$ such that $f(c) = 2$ This function satisfies the conclusion of the Intermediate Value Theorem, even though it does not satisfy the hypothesis.
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