## keelyjm 2 years ago Can anyone help me?

1. keelyjm

Give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at, x = 2 and x = 1.

2. amistre64

a vertical asymptote has the property that it makes the denominator go to zero a horizontal asymptote at 0 has the property that the numerator is a lesser degree than the denominator

3. amistre64

would you agree that 2-x = 0 when x=2? and that 1-x = 0 when x=1?

4. keelyjm

So it would be something like $\frac{ x }{ x^2 }$

5. amistre64

it should be something like that yes :) but more like:$\frac{x}{(a-x)(b-x)}$ such that when x=a or x=b the bottom goes zero

6. keelyjm

so how would you find what the denominator would be if you have infinite possibilities depending on what x equals?

7. amistre64

the bottom has to go zero when x=1 or x=2

8. keelyjm

Ohhh alright I see now! thanks :)

9. amistre64

good luck ;)