Letf(x) = (x + 1)^2(x-2).

(a) Find the maximum and minimum values of f(x);

(b) A point of inflection is a point where the graph changes direction of

concavity, i.e. a point where f''(x) = 0. Find the inection point(s) of

f, and determine where the function is concave up and concave down