Range (mathematics)

Image of a function [math]\displaystyle{ X }[/math] from [math]\displaystyle{ X }[/math] to [math]\displaystyle{ Y }[/math]. The yellow oval inside [math]\displaystyle{ Y }[/math] is the range of [math]\displaystyle{ f }[/math]. [math]\displaystyle{ Y }[/math] is the codomain of [math]\displaystyle{ f }[/math].

In mathematics, the range is a concept which has various meanings in different topics:

• The range of a function [math]\displaystyle{ f }[/math], also written as [math]\displaystyle{ \operatorname{ran}(f) }[/math] or [math]\displaystyle{ \operatorname{Range}(f) }[/math], is the set of elements that the function outputs.
• In statistics, the range is the difference between the lowest and highest values. For example. in {4, 6, 9, 3, 7}, the lowest value is 3, and the highest is 9, so the range is 9-3 = 6.
• In some occasions, the term "range" can also refer to the mathematical concept of interval.

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