The following table gives values of the differentiable function [math].

x012345678910
y1-3-5-21-1-2-4-6-8-9
Estimate the [math]-values of critical points of [math] on the interval [math]. 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 [math] and [math], 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 [math] (instead of [math]). Estimate and classify critical points of the function [math].

critical points and classifications: