A function f() satisfies the following conditions: 1. f (0) = 0; C+2 1. f (I) = c - 1)2 Ill. lim f(2) = 0. A. [3 marks] Find the intervals where f () is increasing, and the intervals where if (x) is decreasing. B. [1 mark] What is lim f(x)? Explain. C. [2 marks] f (I) has a vertical asymptote at z = 1. Find lim f(x) and lim f(z) D. [3 marks] Determine the intervals where y = f () is concave up, and the intervals where y = f(2:) is concave down E. [3 marks] Carefully sketch the graph of y = f (3) and indicate any inflection points on the graph. The specific y-values of critical/singular/inflection points do not need to be precise