8. (12 points) Sketch a graph of a function, f(x), that has the following properties: xx...

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8. (12 points) Sketch a graph of a function, f(x), that has the following properties: xx lim f(x) == f"(x) <0 on the interval (-,-3) f'(x)>0 on the interval (-00, -3) lim f(x)=4 and lim f(x) = 2 2--3- f'(-1)=0 x-3+ f(1) = 0 lim f(x) = x 3 f"(x)>0 on the interval (3,) f'(x) <0 on the interval (3,). lim f(x) = -1 -10 y 10 -5 10 801x 10 Initials: x 8. (12 points) Sketch a graph of a function, f(x), that has the following properties: xx lim f(x) == f"(x) <0 on the interval (-,-3) f'(x)>0 on the interval (-00, -3) lim f(x)=4 and lim f(x) = 2 2--3- f'(-1)=0 x-3+ f(1) = 0 lim f(x) = x 3 f"(x)>0 on the interval (3,) f'(x) <0 on the interval (3,). lim f(x) = -1 -10 y 10 -5 10 801x 10 Initials: x