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QUESTION
Let A = N, the set of all positive integers. In each case, give an example of a function f : A A with the indicated properties, or explain why no...
Let A = N, the set of all positive integers.
In each case, give an example of a function f : A → A with the indicated properties, or explain why no such function exists.
(a) f is not the identity function on A, but f is bijective.
(b) f is one-to-one, but not onto
