These happen when the degree of the numerator is less than the degree of the denominator. In these cases, the horizontal asymptote is always zero. For example, the function y=1x would have a horizontal asymptote at zero because the degree in the numerator, 0, is less than the degree in the denominator, 1.

Can a function have 0 horizontal asymptotes?

Finding Horizontal Asymptote A given rational function will either have only one horizontal asymptote or no horizontal asymptote. Case 1: If the degree of the numerator of f(x) is less than the degree of the denominator, i.e. f(x) is a proper rational function, the x-axis (y = 0) will be the horizontal asymptote.

What axis is the horizontal asymptote if Y 0?

So any time the power on the denominator is larger than the power on the numerator, the horizontal asymptote is going to be the the x-axis, also known as the line y = 0.