Give an example of a rational function that has a horizontal asymptote of y = 2/9.

Note that the graph of the function  has 2 asymptotes:

The horizontal asymptote x=0, 

and the vertical asymptote y=0, as shown in the first picture.

Adding 2/9 to this function, creating , shifts the first graph 2/9 units up. It also shifts the horizontal asymptote y=0 to t=2/9.

We can express the function as .