1. Consider the sets D = {: ne J}, E = DU {0}. (a) Find a continuous function f : (0,1)→ R such that its image f((0, 1)) = D. If no such function exists, give reason. (b) Find a continuous function f: E → R such that its image ƒ(E) = D. If no such function exists, give reason.

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A: Use the Intermediate Value Theorem (IVT) and method of contradicts.

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Q: 7) Use Theorem 7.1.1 (Table) to find L{f(1}} for the following: S)-(e*-e*)}° a.

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