Question 2.[8] Let f (x) = 2x3 + 3x2 - 12x + 1. (a) Find all critical numbers of the function, f. (b) Determine the interval(s) on which f is increasing and the interval(s) on which f is decreasing. Use this to determine where f has a local maximum and where f has a local minimum. (c) Find the interval(s) where the graph of f is concave upwards and the interval(s) where it is concave downwards. Use this to determine where the graph of f has any points of inflection