Sketch the graph of a function f with the following properties: f ( -4) = 0;...

OneTea

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...f (-2) = 2; f (2) = 4; f (4) =? Sketch the graph of a function f with the following properties:
f ( -4) = 0; f (-2) = 2; f (2) = 4; f (4) = 2.
limx ->-? f (x) = 1; limx->? f (x) = 0. limx->0 f (x) = -?.
f ? ( -2) = 0 = f ? (2); f is not differentiable at x = -4;
f ? (x) > 0 if -4 < x < -2 or 0 < x < 2;
f ? (x) < 0 if -? < x < -4, -2 < x < 0 or 2 < x < ?.
f ?? (4) = 0; f ?? (x) > 0 if 4 < x < ?;
f ?? (x) < 0 if -? < x < -4, -4 < x < 0 or 0 < x < 4.
 
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