I with Real Analysis question

[annastm]

Suppose f: R->R is continuous on all of R and B is bounded subset of R.
a) show cl(B) is bounded set
b) show image set f(B) must be bounded subset of R
c) suppose g:B->R is defined & continuous on B but not necessarily on all of R - real #s, Must g(B) be bounded subset of R? (Prove or give counterexample)

 

[matt grime]

Part of the 'rules' for this forum, that you accepted, is that you at least attempt to explain what effort you've made at doing the question, or where you think you need to start.