The next question is:

Let f: Z5 -> Z5 be given by

- draw the diagram of f and determine wether its injective or surjective. Justify.

part ii) Give an example of a three element subset A -> Z5 such that the restriction of f to A is injective.

part iii) give an example of subsets B,C such that f takes each element of B to B and the resulting map

is surjective.

These are the two questions I am currently stuck on, if anyone can offer advice to either one I reserve alot of thanks for you. I'm pretty sure I might need help on other questions but not until I have figured these out. Thanks alot in advance.