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- Suppose f is a function such that f′(x) = (x+ 1)(x−2)2(x−3), so that f has...

- Suppose f is a function such that f′(x) = (x+ 1)(x−2)2(x−3), so that f has the critical points x=−1,2,3. Determine the open intervals on which f is increasing/decreasing.

- Let f be the same function as in Problem 9. Determine which, if any, of the critical points is the location of a local extremum, and indicate whether each extremum is a maximum or minimum.

Im confused on how to figure out if a function is increasing and decreasing and how to use that to find the max and min. Please show all work.

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