A function y = f(x) is defined and continuous for all x. This function satisfies all of the following conditions: (i) f(0) = 1, f(2)= -1. (ii) f'(x) < 0 when x < 2, f'(x)=0 when x = 2, and f'(x) > 0 when x > 2. (iii) F"(x) < 0 when x < 0, f "(x) = 0 when x = 0, and f "(x) > 0 when x > 0. (iv) limx→x f(x) = ∞, lim, f(x) = 4. (a) In which interval(s) is this function increasing, and, in which interval(s) is this function decreasing? (b) In which interval(s) is the graph of this function concave up, and, in which interval(s) is the graph of this function concave down? (c) Sketch the graph of this function. Mark relative maxima, relative minima, inflection points, and asymptotes, if any.