Difference between revisions of "Range"
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[[Category:Definition]] | [[Category:Definition]] |
Revision as of 14:57, 8 January 2008
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.