3 2 2 2 - _ x - l _:l:(9$) u _61'(:r +9) 1. Given it) 332 wrthf (3:) (3 _32)2 and f (1r) (312)3 . {a} Find the domain of f and the intercepts of the graph of f. (1.5 points ) (h) 'ileril'j,r that the lines I = v5, 1 = \\/E and y = :r are linear asymptotes of the graph of f. (3 points) (c) Identify,' the critical numbers and the possible points of inections of the graph of f. (2.5 points } (d) Make a tabie that shows the intervals where f is increasing or decreasing, and where the graph of f is concave up or concave down. Specify in the table all relative extremurn points and possible points of inections of the graph of f. (5.5 points ) (e) Sketch the graph of f. (4.5 points ) Reminder: Emphasize concavity in your graph of f. Plot the intercepts, relative erbemnm points, and points of inection, and label them with their coordinates. Draw the linear asyvnptotes and label them with their equations. 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that there are two distinct real numbers 3:1 and 2:; such that f'(:rl} = f'(:rg}