Consider the function [math].

For this function there are two important intervals: [math] and [math] where the function is not defined at [math].
Find [math]:

Find the horizontal asymptote of [math]:
[math]

Find the vertical asymptote of [math]:
[math]

For each of the following intervals, tell whether [math] is increasing (type in INC) or decreasing (type in DEC).
[math]:

[math]:

Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether [math] is concave up (type in CU) or concave down (type in CD).
[math]:
[math]:

Sketch the graph of [math] off line.