Decide whether each of the following descriptions defines a function.?

[Ian Yoo]

2. f: {1,2,3} --> {1,2,3}
f: 1-->1
f: 2-->2

3. f: {1,2,3} --> {1,2,3}
f: 1-->3
f: 2-->2
f: 3-->3

I said both of them are functions and got this question wrong. There are other similar problems on this question but these two are the most confusing ones.
Any help would be appreciated.
Thank you