Give example of a function f: N-> N which is:

Ainjective but not surjective.
Bsurjective but not injective.
Cbijective but not identity function.

Question

19-07-2016
Mathematics

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Give example of a function f: N-> N which is:

Ainjective but not surjective.
Bsurjective but not injective.
Cbijective but not identity function.

Verified Answer :

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meerkat18 meerkat18 · Answer 1 · 2016-07-20T10:08:40-04:00

An injective function is not a function that is surjective. This means that you want a function that has a unique output for each input, that doesn't cover the natural numbers.
In formal terms a function [Math Processing Error] is injective if [Math Processing Error] implies [Math Processing Error].

We also know that it's not surjective because no value maps to [Math Processing Error] (or any odd number) since if [Math Processing Error], then [Math Processing Error]. However, since [Math Processing Error], the function isn't surjective.

Answer is B.

Give example of a function f: N-> N which is: Ainjective but not surjective. Bsurjective but not injective. Cbijective but not identity function.

Verified Answer :

Related Questions

Give example of a function f: N-> N which is:

Ainjective but not surjective.
Bsurjective but not injective.
Cbijective but not identity function.