
codomain,
n. a set within which the values of a function lie, as opposed to the set of values that the function actually takes (the range). For example, the function y = 1/x for integral values of x can be said to have the interval [-1, 1] as codomain, although 0 is not a value of the function for any argument; its range is in fact only the set of rationals of form 1/x. Compare domain.