1. (2 pts each) Consider a function f (2) = 3x - 45x3 - 30x3 + 180x - 30 for which it has been determined that "J - 15 (x - 1) (x +2) (x - 3) (a) Find the intervals where the function is increasing. (b) Find the intervals where the function is decreasing. (c) Find the value(s) of x for which f has local maximum and minimum values, as appropriate