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Q. 51

Expert-verified

Calculus

Found in: Page 249

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

For each graph of f in Exercises 49–52, explain why f satisfies the hypotheses of the Mean Value Theorem on the given interval [a, b] and approximate any values c ∈ (a, b) that satisfy the conclusion of the Mean Value Theorem.

The graph satisfies the mean value theorem and c=-2.8, -0.9

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

Step 2. Explanation

$f (- 3) = 0 f (0) = 4$

Using MVT,

$f' (c) = \frac{f (b) - f (a)}{b - a}$

role="math" localid="1648554025520" $f' (c) = \frac{f (0) - f (- 3)}{3}$

$f' (c) = \frac{4}{3}$

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