For any given rational function, differentiate between a function's vertical and horizontal asymptotes. In two or more complete sentences, make a connection between the asymptotes and the function's domain and range.

For any given rational function, the vertical asymptotes represent the value of x that will make the denominator of the function equal to zero. The horizontal asymptote represent the value of y that results to an undefined value of x. The asymptotes serve as limits for the domain and range of the function.