2. Sketch the graph of y36r. To receive credit you MUST find the domain and range any asymptotes (vertical and horizontal), intercepts, intervals of increase/decrease, in tervals of concavity, local maxima and minima and inflection points for the function f(a) 3-6z. You must prove that the critical points of f are local maxima/minima using whatever test you prefer in order to receive full credit. 30 points: 0 points for no attempt or not showing work. 2 points for the domain, 2 points for the range, 2 points for any intercepts, 4 points for vertical/horizontal asymptptes. 2 points for correctly computing the first derivative, 4 points for correctly identifying intervals of increase/decrease, points for correctly computing the second derivative, 4 points for correctly identifying intervals of concavity, 2 points for identifying inflection points, 4 points for finding all local extrema. 2 points for the graph.