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Use the graph of the function below to answer the following questions. (a) At what labeled point (s) is the slope of the tangent line

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Use the graph of the function below to answer the following questions. (a) At what labeled point (s) is the slope of the tangent line of the graph positive? (b) At what labeled point(s) is the slope of the tangent line of the graph negative? (c) At what labeled point(s) is the slope of the tangent line of the graph zero? (d) At which labeled point does the graph have the largest positive tangent line slope? (e) At which labeled point does the graph have the steepest negative tangent line slope? (f) Describe the behavior of the function at the points where the tangent line has a zero slope. Sketch a graph of a function, f, that has at least all of the following properties. Draw in any vertical asymptote(s), where appropriate. . lim f (x) = -3 20- - 5 . lim f (x) = -00 20->-2 . f(0) = 2 . f(x) =0, when x = 2 . f' ( 4) = 0 . lim f(x) = -2 2 -+ 7- . lim f(x) = 3 20 -+ 7+ lim f(x) = 00

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