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Range

Range

The set of y-values of a function or relation. More generally, the range is the set of values assumed by a function or relation over all permitted values of the independent variable(s).

 

Example 1: For y = x² + 1, the smallest y-value is 1, so the range is [1, ∞) or {y | y ≥ 1}.
Ellipse on xy-plane with points (-1,1), (5,1), (2,3), (2,-1) labeled. Range is [-1,3]; y-values run from -1 to 3.

 

 

See also

Domain, interval notation, set-builder notation, real numbers