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 14541-2121-1-4

Estimate the x-values of critical points of f(x) on the interval 0

(Put 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). Put 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

critical points = (2,max)(5min)(7,max)(10,min)

critical points = (2,min)(1,max)(10,min)

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