Let ac +1 f (2 ) = (2 + 2) e x * 0. 3 (a) (5 points) Find the local extrema of f. (b) (5 points) Find intervals where the graph of f is concave up and concave down, and find the inflection points. (c) (5 points) A line y = mx + c, m # 0, is an oblique asymptote of the graph of f(x) if f (2) m = lim and lim (f (x) - mx) = c exists. Find the vertical and oblique asymptotes of the graph of f. (d) (3 points) Sketch the graph of f. Do include the asymptotes, inflection points, local extrema, etc, that may aid in your sketch. Show your workings clearly. Give exact answers