SOLUTION: Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4.

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Question 1032415: Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Degree of numerator and denominator be equal to make the horizontal asymptote; and their coefficients be equal to make end behavior y=1.

%28x%28x-a%29%29%2F%28x%5E2-something%29

Denominator must contain x-4 so function be undefined at x=4.

%28x%5E2%2B9%29%2F%28%28x-4%29%28x-3%29%29------just an example with horiz asymptote y=1 and vertical asymptote x=4. Other examples possible.