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

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

Expert Solution

Colby Messinger answered 2 years ago

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