(28 points) Given f(x) = 21 - 3.x x - 2 , f'(2) = 2(2 -1)(2-3) (x - 2)2 , and f"(x) = use this information to answer the questions below. Show your work. No credit for (2 - 2)3 unjustified answer. (a) (2 points) Identify the domain of f. + 1 (b) (3 points) Identify any asymptotes. (c) (10 points) Determine any (critical points of f and find the open intervals on which and decreasing. Identify any local extrema. (4) (2 points) Identify the domain of f. (b) (3 points) Identify any asymptotes. + 1 (c) (10 points) Determine any (critical points of f and find the open intervals on which f is increasing and decreasing. Identify any local extrema. 8 points) Find the open intervals on which the graph of f is concave up and concave down. Identify any points of inflection. (e) (5 points) Sketch the general shape of the graph of f(z)