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.
