Problem 6: For each part below, find an equation f(x) with the stated properties, or if there are no examples, explain why not. You need not assume that f is a smooth function for this problem, but you should remark on on the continuity and differentiability of f. (a) Every real number is a fixed point. (b) There are no fixed points. (c) There are precisely 100 fixed points. (d) Every integer is a fixed point, and there are no others. (e) Every number except 0 is a fixed point. =

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A: Topic = Functions

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