Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.3 - Polynomial Functions and Their Graphs - Exercise Set - Page 351: 84

Answer

See explanations.

Work Step by Step

Based on the Intermediate Value Theorem, there must be a zero between $f(a)$ and $f(b)$. However, with $f(a)$ and $f(b)$ having the same sign, it may happen that there are an even number of zeros in between -- that is, the curve may cross the x-axis 2 times, 4 times, etc.
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