A cubic plane curve can have 3 linear asymptotes. Here, two of the asymptotes are parallel.

Are there asymptotes on a cubic function?

For cubic curves, therefore, there can be no more than three asymptotes. In fact, cubic curves exist with 0, 1, 2, or 3 real asymptotes. The curve yx(x - 1)= 1 has three asymptotes; yx2 = 1has two; the folium of Descartes has one, as we saw above; and the polynomial y = x has no finite asyinptotes.

Which functions have an asymptote?

An asymptote is a line that the graph of the function approaches, but never touches. In the parent function f(x)=1x , both the x - and y -axes are asymptotes. The graph of the parent function will get closer and closer to but never touches the asymptotes.