Question

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 1

the vertical asymptotes are where the denominator is zero, so \((x-2)(x-1)\) would go in the denominator

Answer 2

okay, and how do i find the numerator

Answer 3

if the horizontal asymptote is 0 that means the degree of the numerator has to be less than 2

Answer 4

you can put anything up top you like, so long as the degree is less than two

Answer 5

so would 3x / (x−2)(x−1) be correct

Answer 6

for example \(x\) or \(x+3\) or \(5\) or your favorite number

Answer 7

yes, that would work

Answer 8

thanks a lot man

Answer 9

yw