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High Quality Content by WIKIPEDIA articles! In mathematics, the range of a function f (denoted by mbox{ran},f ) is the set of all "output" values produced by f. Sometimes it is called the image, or more precisely, the image of the domain of the function. If a function is a surjection then its range is equal to its codomain. In a representation of a function in an xy Cartesian coordinate system, the range is represented on the ordinate (on the y axis). Sometimes the range means the set of all possible values the codomain. This is also the current usage for range in computer science. The ambiguity makes it preferable to specify whether it is the image or the codomain being discussed.