BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2, Problem 8RCC
To determine

To find:The meaning of the intermediate value theorem.

Expert Solution

Answer to Problem 8RCC

The intermediate value theorem is explained.

Explanation of Solution

Given information:

The intermediate value theorem.

Calculation:

Let’s f is continuous on the closed interval [a,b] and let N be any number between f(a) and f(b) , where f(a)f(b) .

Then there exist a number c in (a,b) , such that f(c)=N .

The intermediate value theorem states that a condition function takes on every intermediate value between the function values f(a) and f(b) . Note that the value N can be taken on once or more than once intermediate value theorem is true for continuous function and it is not true for discontinuous functions.

Therefore, the intermediate value theorem is explained.

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