Question: PART B: COMMUNICATION 5. For the function: f (x ) = - x +3 (x2 - 4) f' (x)-X-6x -4 (x2- 4)2 f (x) =

PART B: COMMUNICATION 5. For the function: f (x ) = - x +3 (x2 - 4) f' (x)-X-6x -4 (x2- 4)2 f" (x) = 2(x* + 9x3 + 12x+ 12) (x2- 4)3 a) Find the domain. (1] b) Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of the discontinuity. [3] c) Find all intercepts. [1] d) Find critical point(s). [1] e) Find any local extrema. [21 f) Find point(s) of inflection. [3] g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection. [4] Page 7 of 13

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