Let fx x2 9 Use a graphing utility to graph y fx 6 nlf over

Let f(x) x2 9 Use a graphing utility to graph y f(x). -6 nlf over which f is increasing -6

Solution

f(x)=8x/(x^2 +9)

Here we dont have vertical asymtote and horizontal asymtote is y=0

And the graph looks like

From the graph we can say that the given function is increasing in [-3,3] and decreasing in (-infinity,-3]U[3,infinity)