Difference between revisions of "Range"
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[[Category:Definition]] | [[Category:Definition]] |
Revision as of 13:57, 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.