The polynomial f has exactly two local maxima and one local minimum; these are the only
Chapter 4, Problem 28(choose chapter or problem)
The polynomial f has exactly two local maxima and one local minimum; these are the only critical points of f. (a) Sketch a possible graph of f. (b) What is the largest number of zeros f could have? (c) What is the smallest number of zeros f could have? (d) What is the smallest number of inflection points f could have? (e) What is the smallest degree f could have? (f) Find a possible formula for f(x).
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