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Question: let x 1 2 3 4 and y ...

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Let X = {1, 2, 3, 4} and Y = {a, b, c, d, e}. Write down examples of functions

following properties:
(a) g ∶ X → X so that g is injective and surjective.
(b) h ∶ X → Y so that h is injective but not surjective. (c) i ∶ Y → X so that i is surjective but not injective.
(d) j ∶ X → Y so that j is neither surjective nor injective.

with the

Can you find an example of a map k ∶ N → N that is not surjective? Prove your answer.

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