# Minima and Maxima (Extreme Values) > **Absolute/Global Extrema:** Refers to the minimum or maximum value of the entire function > **Local Extrema:** Refers to the minimum or maximum value of a specific interval. - A local extremum of a function is a maximum or minimum value of the function over some open interval. - When a function is defined over a closed interval, a local extremum never occurs at the endpoint of the interval. - A local extremum is a y-value. - The location of a local extremum is an x-value. --- ### The Extreme Value Theorem > [!abstract] The Extreme Value Theorem > If $f$