You will be given a definition of a task first, then some input of the task.
In this task, we ask you to elaborate the sentence without changing its general meaning. You can do so by explaining further the input sentence, using more precise wording, adding qualifiers and auxiliary information etc.

In mathematics , the maximum and minimum of a function are the largest and smallest value that the function takes at a given point .
Output:
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 of a function ( the global or absolute extrema ) .