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Let f(x) be a function that is continuous for all real numbers and assume all the...

Let f(x) be a function that is continuous for all real numbers and assume all the intercepts of f, f' , and f” are given below. Use the information to a) summarize any and all asymptotes, critical numbers, local mins/maxs, PIPs, and inflection points, b) then graph y = f(x) labeling all the pertinent features from part a. f(0) = 1, f(2) = 0, f(4) = 1 f ' (2) = 0, f' (x) < 0 on (−∞, 2), and positive elsewhere. f ''(0) = 0, f ''(4) = 0, f ''(x) > 0 on (0, 4) and negative elsewhere. lim x→±∞ f(x) = 3

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