In algebra, what is an asymptote?

Answer by  esteban (1334)

An asymptote is a vertical, horizontal, or slant line that the graph of a function approaches, but never quite reaches. Vertical asymptotes are found by setting the denominator of a rational function equal to zero. Horizontal asymptotes are found by taking the limit of the function as x approaches infinity.

Answer by  alz (2329)

An asymptote is a line, either vertical or horizontal, that touches a graph at only one point. The slope of a horizontal asymptote is 0, and a vertical is undefined.