Description
Build a rational function with a horizontal asymptote at y=2, no roots, and two vertical asymptotes.
Explanation & Answer
For a horizontal asymptote you need a limit as x goes to infinity in both directions
For no roots you must not have any solutions that equal zero
For two vertical asymptotes you need a factorable quadratic function in the denominator that creates two zeros.
This function satisfies all the requirements:
(2x^2 + 1) / (x^2 - 4)