Give an example for following sub-questions. If you think no such example exists, you must explain why not.

Let A = {1,2,3}, B = {0,2,4}, and X = {x,y} for (a) and (b) questions.

(a) Give 3 different examples of subsets of X.

(b) Give an example of a function f : A X using either set-list notation (a list of ordered pairs) or a table.

(c) Give an example of a function from Z to N that is one-to-one, but not onto.

(d) Give an example of a function from Z to Z that is onto, but not one-to-one.

(e) Give an example of a function from Q to Z that is neither one-to-one nor onto.

(f) Give an example of a bijection from Z to R.