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  3. let a = {1,2,3}. in each part, give an example of

Let A = {1,2,3}. In each part, give an example of the requested function and justify...

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Advance Math

Let A = {1,2,3}. In each part, give an example of the requestedfunction and justify that your example has the required properties,or explain why no such function exists.

(a) A function f : A → A that does not have an inverse.
(b) A function f : A → A×A that is surjective (i.e., onto).
(c) A function f : P(A) → A such that for all X ∈P(A), f(X) ∈X.
(d) A function f : A → A that is also a transitive relation.

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