Range (mathematics)

File:Codomain2.SVG

Image of a function <math>X</math> from <math>X</math> to <math>Y</math>. The yellow oval inside <math>Y</math> is the range of <math>f</math>. <math>Y</math> is the codomain of <math>f</math>.

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

• The range of a function <math>f</math>, also written as <math>\operatorname{ran}(f)</math> or <math>\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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