2. Let /(x) = 2 + 3x3 - 45x + 2. Show your work. (a) (6 points) Find the critical points for /(z). (b) (6 points) Find the (open) intervals where f(") is increasing and decreasing Increasing: Decreasing (e) (4 points) Find a-values corresponding to local extreme. Circle the correct answers then fill in the bank, of equisubie No local maximum Local making at = No local minimum Local minimum at & (d) (7 points) Find the (open) intervals where f(e) is congave up and concave down. Concave up () (2 points) List inflection points (s-values)