Question

Write a rational function with the given characteristics. A rational function with vertical asymptote x=5 and horizontal asymptote y=1/2.

Answer 1

do you know what factor has to go in the denominator for a vertical asymptote of x = 5

Answer 2

(x-5)?

Answer 3

yes.

Answer 4

since the horizontal asymptote is 1/2, you can put any linear factor in the numerator as long and put twice the leading coefficient in the denominator.

Answer 5

oh okay that makes more sense

Answer 6

like if you want the numerator to be \(x+6\) the denominator would have to be \(2(x−5)\).
If you want the numerator to be \(2x−1\) the denominator would have to be \(4(x−5)\)

Answer 7

sorry there was a typo

Answer 8

oh okay thats okay