Question: A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax3 + bx2 + cx + d, where

A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax3 + bx2 + cx + d, where a ≠ 0.
(a) Show that a cubic function can have two, one, or no critical number(s). Give examples and sketches to illustrate the three possibilities.
(b) How many local extreme values can a cubic function have?

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a fx ar bx cx d a 0 So fx 3ar 2bxc is a quadratic and hence ... View full answer

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