Sketch the graph of a single function f (a ) that satisfies all of the following conditions, labeling all local extrema, inflection points, and asymptotes. Explicitly state the intervals of increase, decrease, and concavity. . The domain of f (ac ) is (-0o, co) . f' (2) = ex-(x -2) . f" (a) = ex(2 -1)(4- a) . f(0) = 1 . lim f (a) = 3 20 -00 . lim f (ac) = 0o Hint: e is never 0, and is always positive