(a) Continuous and differentiable everywhere except at x = -3, where it has a vertical asymptote (b) A horizontal asymptote at y = 1 (c) An x-intercept at x = -2 (d) A y-intercept at y = 4 (e) f'(x) > 0 on the intervals (-0, -3) and (-3, 2) (f) f'(x) < 0 on the interval (2, 0) (g) f"(x) > 0 on the intervals (-0, -3) and (4, ) (h) f"(x) < 0 on the interval (-3, 4) (i) f'(2) = 0 (j) An inflection point at (4, 3)

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