In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or absolute extrema).

(“Maxima and Minima” 2022)

Global minima

The smallest over the entire domain.

Global maxima

The largest over the entire domain.

Local minima

The smallest over a subset of the domain.

Local maxima

The largest over a subset of the domain.