Absolute Extrema

Definition

The absolute extrema of a function are the highest and lowest values that the function reaches over a given interval.

Related terms

Local Extrema:

These are points where a function reaches its highest or lowest value within a small neighborhood, but not necessarily over an entire interval.

Critical Points:

These are points where the derivative of a function is either zero or undefined. They can help identify potential extrema.

Global Extrema:

These are the absolute maximum and minimum values of a function over its entire domain.