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Solved: Never-zero continuous functions Is it true that a
Chapter 2, Problem 65E(choose chapter or problem)
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.
Questions & Answers
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”.