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.

F (x) = x^2 / (x-2) (x-1), the degree of the numerator and the degree of the denominator equal and the quotient of their coefficient equal to 1 (horizontal asymptote means that the lines approach a certain number when the input approaches positive or negative infinity)

and when plugging in 2 or 1 as input, the output is undefined.