3t3 1. Let g(t) - with g'(t)= = t2 - 3 3t (t - 9) (t2 - 3)2 and g" (t): 18t(t+9) = (t2-3)3 (a) Determine the domain of g. (b) Determine the intervals of increase and decrease. (c) Determine the intervals of concave up and concave down. (d) Use your work above to answer the following: The graph of g is concave up and increasing on the interval The graph of g is concave up and decreasing on the interval The graph of g is concave down and increasing on the interval The graph of g is concave down and decreasing on the interval The graph of g has inflection point(s) at