Consider the function .

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

Find the horizontal asymptote of :

Find the vertical asymptote of :

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

:

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

Sketch the graph of off line.

You can earn partial credit on this problem.