Question

Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1,...

Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1, 3].

Find f '(x). f '(x) = 3x2−4x−4

Find the critical values. x =

Evaluate the function at critical values. (x, y) =

(smaller x-value)

(x, y) =

(larger x-value)

Evaluate the function at the endpoints of the given interval.

(x, y) =

(smaller x-value)

(x, y) =

(larger x-value)

Find the absolute maxima and minima for f(x) on the interval [−1, 3].

absolute maximum (x, y) =

absolute minimum (x, y) =

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