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In the function mapping

, the domain is all

values and the range is all

values.

implies

, the function is called injective, or one-to-one.

If for any

in the range there is an

in the domain so that

, the function is called surjective, or onto.

If both conditions are met, the function is called bijective, or one-to-one and onto.

Contributed by: Ed Pegg Jr

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Injective, Surjective, Bijective