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Home › CBSE Class 12 (Commerce) › Mathematics › Continuity and Differentiability › A continuous function on a closed interval [a, b…

A continuous function on a closed interval [a, b] always attains what?

Aa derivative at each point
Bthe value (a + b)/2
Ca maximum and a minimum
Da root of the function
Answer & Solution
Correct answer: C. a maximum and a minimum
The extreme value theorem guarantees both a largest and a smallest value on a closed bounded interval.
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