Let f->R be continuous. For each of the following, prove or give a counter example.

A) if D is open, then f(D) is open

B) if D is closed, then f(D) is closed

D) if D is not closed, then f(D) is not closed

E) if D is not compact, then f(D) is not compact

F) if D is unbounded, then f(D) is unbounded

G) if D is finite, then f(D) is finite

H) if D is infinite, then f(D is infinite

I) if D is an interval, then f(D) is an interval