Build a rational function with a horizontal asymptote at y=2, no roots, and two vertical asymptotes.

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)

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