Given f (x) %3D x2 -9 x2 +9 f'(æ) (22 – 9)² 2x(x² + 27) (x² – 9)3 f"(x) a) Find the vertical asymptotes of f. b) Find the horizontal asymptotes of f. c) Find the intervals where f is increasing and the intervals where f is decreasing. d) Find the local extreme values of f. e) Find the intervals where f is concave up and concave down. f) Find the inflection points of f. g) Sketch a graph of f, making sure to include all the information found in parts a)-f). Label all local extreme values and inflection points.

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