Question 4 12 PLS A function f(r) satisfies the following conditions: 1. f(0) = 0; 1. f (2) = 3+2 (ac - 1)2 Ill. lim f(x) = 0. A. [3 marks] Find the intervals where of () is increasing, and the intervals where f( x) is decreasing. B. [1 mark] What is lim f(x)? Explain. C. [2 marks] f(x) has a vertical asymptote at x = 1. Find lim f(x) and lim f(x) 2-1" D. [3 marks] Determine the intervals where y = f(1) is concave up, and the intervals where y = f(x) is concave down. E. [3 marks] Carefully sketch the graph of y = f(x) and indicate any inflection points on the graph. The specific y-values of critical/singular/inflection points do not need to be precise