Suppose f: R->R is continuous on all of R and B is bounded subset of R.(adsbygoogle = window.adsbygoogle || []).push({});

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)

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# Homework Help: I need help with Real Analysis question

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