Is it true that a continuous function that is never zero on an interval never changes sign on that interval? give reasons for y

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marusya05 [52]

2 years ago

14

Is it true that a continuous function that is never zero on an interval never changes sign on that interval? give reasons for y

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Mathematics

1 answer:

Elden [556K] · Answer 1 · 2022-06-24T02:41:06+03:00

Elden [556K]2 years ago

7 0

<span>Yes it is true that a continuous function that is never zero on an interval never changes sign on that interval. This is because of ever important Intermediate Value Theorem.</span>

Is it true that a continuous function that is never zero on an interval never changes sign on that​ interval? give reasons for y

Is it true that a continuous function that is never zero on an interval never changes sign on that interval? give reasons for y