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

helpp pleasee

Answer 2

for horizontal asymptote of y=0, just choose a rational function such that numerator degree is lesser than the denominator degree

Answer 3

For a vertical asymptote (called a pole in some fields), you choose a factor in the denominator that equals 0 at the value of x where you have the vertical asymptote. For example, \[\frac{1}{x-3}\]has a vertical asymptote at \(x=3\) because the denominator equals 0 there.