Hello, DasRabbit!

There are vertical asymptotes at and

has in the denominator.

With the "usual" vertical asymptote, the graph goes to on one side

. . and to on the other side (as it does at ).

At , the graph goes to onsides.both

This indicates that the factor in the denominator is to anpower.even

. . Hence, the denominator has: .

Since there is a horizontal asymptote , the numerator has a degree less than 3.

. . Assume (for simplicity) that the numerator is linear.

We have: .

We want:

We want:

Therefore: .

Test a few points to ensure that graph is on the correct sides of thex-axis.