Question: I Continuous, then VE CA, JEE ->Y is continuous. Corollary 7. If f : X -> Y is continuous, then Vcompact E C X, f(E)

I Continuous, then VE CA, JEE ->Y is continuous. Corollary 7. If f : X -> Y is continuous, then Vcompact E C X, f(E) is compact. Corollary 8. Let X and Y be metric spaces with X compact and let f : X - Y be continuous. Then f is bounded and, for any closed subset F of X, f(F) is closed.Let f : R - R be a continuous function. Use Corollary 7 in Chapter 4 to prove that f ((0, 1)) C f ( [0, 1])

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