(3) For the curve given by the equation $y = x^3 + \frac{3}{2}x^2 - 6x$
(a)(8 points) Sketch the graph, labeling the relative maxima (MAX), relative minima (MIN) and points of inflection (POI). Describe where the curve is increasing and where decreasing. Describe where the curve is concave up and where concave down.
(b) (8 points) Determine the (absolute) maximum and minimum values for $f(x) = x^3 + \frac{3}{2}x^2 - 6x$ on the closed interval [-1, 2].
