Question

Can anyone help me?

Answer 1

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.

Answer 2

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

Answer 3

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

and that 1-x = 0 when x=1?

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

Ohhh alright I see now! thanks :)

Answer 9

good luck ;)