Consider the cubic function f ( x ) ax 3 bx 2 cx d where a ne 0 Show that f can have zero, one, or two critical numbers and give an example of each case

Question: Consider the cubic function f ( x ) = ax 3 + bx 2 + cx + d where a ≠ 0 . Show that

Consider the cubic function f ( x ) = ax ³ + bx ² + cx + d where a ≠ 0 . Show that f can have zero, one, or two critical numbers and give an example of each case.

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