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23 1. Given f(r) = 12 (9 - 12) 3- 22 with f'(x)= (3 - 12)2 and f"(x) = 6x(x2 + 9) (3- 22)3 (a) Find the domain of f and the intercepts of the graph of f. (b) Verify that the lines r = v3, r = -V3 and y = -r are linear asymptotes of the graph of f. (c) Identify the critical numbers and the possible points of inflections of the graph of f. (d) Make a table 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 extremum points and possible points of inflections of the graph of f. (e) Sketch the graph of f. Reminder: Emphasize concavity in your graph of f. Plot the intercepts, relative extremum points, and points of inflection, and label them with their coordinates. Draw the linear asymptotes and label them with their equations