Question: (2 pts each) Consider a function f (2) = 325 - 45x3 - 30x2 + 180x - 30, for which it has been determined that

determined that df da = 15 (x - 1) (x + 2)2

local maximum and minimum values, as appropriate. (d) Find the intervals where

(2 pts each) Consider a function f (2) = 325 - 45x3 - 30x2 + 180x - 30, for which it has been determined that df da = 15 (x - 1) (x + 2)2 (x - 3)(c) Find the value(s) of x for which f has local maximum and minimum values, as appropriate. (d) Find the intervals where the function is concave up. (e) Find the intervals where the function is concave down.(f) Find any points of inflection of this function

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