Sketch the graph of ONE function that satisfies ALL of the follow- ing conditions. Label ALL important features: local extrema, inflection points, asymptotes etc. (a) ƒ(0) = 0, ƒ'(−2) = f'(1) = f'(9) = 0 lim f(x) = x→6 (b) lim f(x) = 0, x →∞ (c) f'(x) < 0 on (-∞, —2) U(1, 6) U(9, ∞) (d) f'(x) > 0 on (−2, 1) U(6, 9) (e) ƒ"(x) < 0 on (0,6) U(6, 12) (f) f'(x) > 0 on (-∞,0) U(12, ∞) =18

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