Let A = {1,2,3,4,5,6}. In each case, give an example of a function f : A A with the indicated properties, or explain why no such function exists.

Let A = {1,2,3,4,5,6}. 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