Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - True-False Quiz: 22

Answer

True.

Work Step by Step

See sec.1-8, Intermediate Value Theorem. If f is continuous on [a,b], N any number between f(a) and f(b), f(a) $\neq$ f(b). Then, there exists a c in [a,b] such that f(c)=N. ------------- $\pi\approx 3.14,\qquad 3 < \pi < 4$ $f(-1) < \pi < f(1)$. Apply the Intermediate Value Theorem with $a=-1,\ b=1,\ N=\pi$. The statement is true.
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