3.What is the greatest total number of local maxima and local minima that a polynomial function of degree n can have? What is the greatest number of inflection points possible for a polynomial function of degree n?
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A polynomial function of degree $n$ has the form $f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$, where $a_n \neq 0$. Show more…
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