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Suppose f is defined by f(x)=3x/(4+x^2), −1≤x<3. What is the domain of f? Find the intervals where...

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Basic Math

Suppose f is defined by f(x)=3x/(4+x^2), −1≤x<3.

What is the domain of f?

Find the intervals where f is positive and where f isnegative.

Does f have any horizontal or vertical asymptotes. If so, findthem, and show your supporting calculations. If not, brieflyexplain why not.

Compute f′ and use it to determine the intervals where f isincreasing and the intervals where f is decreasing.

Find the coordinates of the local extrema of f

Make a rough sketch of the graph of f using only the informationfrom the previous steps.

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