An asymptote of a real-valued function y=f(x)'s a curve which describes the behavior of f as either x or y tends to infinity. In other words, as one moves along the graph of f(x) in some direction, the distance between it and the asymptote eventually becomes smaller than any distance that one may specify. If a curve A has the curve B as an asymptote, one says that A's asymptotic to B. Similarly B's asymptotic to A, so A and B are called asymptotic. A linear asymptote's essentially a straight li… (More on Asymptote)