A rational function is one with a polynomial numerator and a polynomial denominator. If the degree of the numerator is LESS THAN the degree of the denominator, the x-axis (y = 0) is the horizontal asymptote. If the degree of the numerator IS EQUAL TO the degree of the denominator, there is a horizontal asymptote at the line y = b, where the constant b is determined by dividing the leading coefficient in the numerator by the leading coefficient of the denominator. To answer your question: If the degree of the numerator is GREATER THAN the degree of the denominator, there is NO horizontal asymptote. Edwin