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: 3

Answer

See the graphical interpretation below.

Work Step by Step

If $f$ is continuous on $[a, b]$, then the horizontal line $y = k$ for every $k$ between $f (a)$ and $f (b)$ intersects the graph of $y = f (x)$ at least once.
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