f(x) = (3-x)/(x^2-16)

Describe the behavior of f(x) to the left and right of each asymptote.

Asymptotes are y= 4 and y= -4

The right behavior of the first asymptote at y = 4 is ∞correct? Would the left behavior at asymptote then be - ∞?

And the right behavior of the asymptote y = -4 would also be ∞ and the left would again be -∞?

Would someone mind correcting this if necessary?

http://www.walterzorn.com/grapher/grapher_e.htm -here is a grapher if you need.

Thanks so much!