Solved: Never-zero continuous functions Is it true that a

Chapter 2, Problem 65E

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QUESTION:

PROBLEM 65E

Never-zero continuous functions Is it true that a continuous function that is never zero on an interval never changes sign on that interval? Give reasons for your answer.

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QUESTION:

PROBLEM 65E

Never-zero continuous functions Is it true that a continuous function that is never zero on an interval never changes sign on that interval? Give reasons for your answer.

ANSWER:

Solution

Step 1 of 3

In this problem we have to give a reason for a continuous function that is never zero on an interval never changes sign on that interval.

Yes . it's true because of “Intermediate value theorem”.


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