alleryOne theorem guarantees a continuous function on a closed, bounded interval attains both a highest and a lowest value. It is the:
AExponential Value Theorem
BExternal Value Theorem
CElementary Value Theorem
DExtreme Value Theorem
Answer & Solution
Correct answer: D. Extreme Value Theorem
1. Continuity plus a closed interval are the conditions.
2. Under them the maximum and minimum are actually reached.
3. That is the Extreme Value Theorem.
_Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
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