I'm just a bit confused as to how to show this.

1. (6 marks) Let (M,d) and (N, p) be metric spaces and f : M > N be a function. (a) Show that f is continuous if and only if f (A) g f (A) for all A g M. (b) Give an example of a continuous function f such that f (H) 7E f (A) for some A <_: m>