Consider the function .

The x-intercepts are at:
NOTE: There could be more than one.

There a horizontal (or oblique) asymptote at
NOTE: This could be a function of x.

If , , and are critical points, then can be broken up into the following unique intervals:
(), (), (), ().

For each of the intervals listed below, select the graph best representing the shape of the function in that interval.


1   2
3   4

(Click on a graph to enlarge it.)

You can earn partial credit on this problem.