Question: 8 (20 points). Sketch the graph of a function with the following properties: f ( -3) = 2; f(1) = 2; f(3) =-4. y =

8 (20 points). Sketch the graph of a function with the

8 (20 points). Sketch the graph of a function with the following properties: f ( -3) = 2; f(1) = 2; f(3) =-4. y = -x - 2 is an oblique asymptote to y = f(x) at bboth ends: I- tooff (x) - (-x-2)} = 0. x = -lis a vertical asymptote on both sides: The one-sided limits of f at x = -1 are infinite, but may be positive or negative. f' (-3) = 0; f'(1) =0; f"(3) = 0; f' (x) 0 if -3 0 if -oo

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