The following table gives values of the differentiable function y=f(x). x 0 1 2

Question

The following table gives values of the differentiable function y=f(x). x 0 1 2 3 4 5 6 7 8 9 10 y 5 6 3 -1 -2 1 2 -1 -3 -6 -7 Estimate the x-values of critical points of f(x) on the interval 0 < x < 10. Classify each critical point as a local maximum, local minimum, or neither. (Enter your critical points as comma-separated xvalue,classification pairs. For example, if you found the critical points x = -2 and x = 3, and that the first was a local minimum and the second neither a minimum nor a maximum, you should enter (-2,min), (3,neither). Enter none if there are no critical points.) critical points and classifications: Now assume that the table gives values of the continuous function y=f'(x) (instead of f(x)). Estimate and classify critical points of the function f(x). critical points and classifications:

Explanation / Answer

(0,neither)

(1,max)

(2,none)

(3,none)

(4,local min)

(5,none)

(6,local max)

(7,none)

(8,none)

(9,none)

(10,min)

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