Range
Revision as of 23:02, 20 April 2008 by I like pie (talk | contribs)
Let and
be any sets and let
be any function between them, so that
is the domain of
and
is the codomain. Then
is called the range or image of
.
Thus, if we have given by
, the range of
is the set of nonnegative real numbers.
A function is a surjection exactly when the range is equal to the codomain.