# How do you write an equation for a rational function that has a vertical asymptote at x=2 and x=3, a horizontal asymptote at y=0, and a y-intercept at (0,1)?

##### 1 Answer

The desired rational function is

#### Explanation:

As we have vertical asymptote at

we have in denominator

and as we have horizontal asymptote at

i.e.

We also have an intercept at

therefore

and

Now we should have

i.e.

Hence the desired rational function is