- #1
annastm
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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)
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)