Chapter 2, Problem 18RQ

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8th Edition

James Stewart

ISBN: 9781305270336

Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If *f* is continuous on [ –1 , 1] and *f*(–1) = 4 and *f*(1) = 3, then there exists. a number *r* such that | *r* | < 1 and *f*(*r*) = *π*.

To determine

Whether the statement, “If *f* is continuous on *r* such that

Explanation

**Theorem used: The Intermediate value Theorem**

Suppose that if *f* is continuous on the closed interval [*a*, *b*] and let *N* be any number between *c* in (*a*, *b*) such that

**Reason:**

Suppose *f* is continuous on

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