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f) Find point(s) of inflection. [3] g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection. [4]PART B: COMMUNICATION 5. For the
f) Find point(s) of inflection. [3] g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection. [4]PART B: COMMUNICATION 5. For the function: f (x) = ; x+ 3 (x2 - 4) f'(x) - -x- 6x - 4 (x2 - 4)2 f" (x) = 2(x3 + 9x2+ 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. [2]
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