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NEED HELP QUICKLY 25 POINTS CALC MULTIPLE CHOICE

NEED HELP QUICKLY 25 POINTS CALC MULTIPLE CHOICE-example-1
User Beasly
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Answer:

The absolute maximum value of f on [-2, 4] occurs at x = 4.

Explanation:

We know that the absolute maximum value of f(x) on this interval will occur at either a critical point or an endpoint. The critical points are any point where f'(x) is either equal to zero or not defined. Since f is a polynomial, f'(x) = 3x^2 - 6x is always defined, but is equal to zero at x = 0 and x = 2. We can check the value of f(x) at each critical point and endpoint:

f(-2) = -8

f(0) = 12

f(2) = 8

f(4) = 28

Therefore, f has an absolute maximum value of 28 on the closed interval [-2, 4], which occurs when x = 4.

User Mklhmnn
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