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Global Extremum

Definition

A global extremum refers to the highest (global maximum) or lowest (global minimum) point on the entire graph of a function. These points represent the absolute maximum or minimum values of the function.

Related terms

Local Extremum: A local extremum refers to either a local maximum or minimum point on a graph. These points represent locations where there is a change in concavity and can occur within an interval.

Absolute Maximum: The absolute maximum of a function is the largest value that it attains over its entire domain. It may be located at one or more points on the graph.

Absolute Minimum: The absolute minimum of a function is the smallest value that it attains over its entire domain. It may be located at one or more points on the graph.

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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.