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Extreme Value Theorem (EVT)

Definition

The Extreme Value Theorem states that if a function is continuous on a closed interval, then it must have both a global maximum and a global minimum within that interval.

Related terms

Global Maximum: The highest value of a function over its entire domain.

Global Minimum: The lowest value of a function over its entire domain.

Local Maximum/Minimum: Points where the function reaches high or low values within small intervals, but not necessarily the highest or lowest values overall.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.