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4. (10 points) Sketch the graph of a function y = f(x) satisfying all of the following criteria: (1) Its domain is (-00, co) (2)

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4. (10 points) Sketch the graph of a function y = f(x) satisfying all of the following criteria: (1) Its domain is (-00, co) (2) The line y = -2 is a horizontal asymptote (3) lim f (x) = -00 x-+3 (4) lim f(x) = -00 (5) f(-1) = 0 (6) The sign chart of the derivative is below interval (-00, -1) (-1, 3) (3, 00) sign f' + - +

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