What is a vertical asymptote?

A vertical asymptote is a vertical line on a graph that a function approaches but never crosses or touches. It occurs when the function approaches positive or negative infinity as the input approaches a certain value. Vertical asymptotes can occur in rational functions when the denominator of the function becomes zero at a certain value.

A vertical asymptote is a vertical line that a graph approaches but never touches. It occurs when the denominator of a rational function becomes zero, making the function undefined at that point. The graph will have a discontinuity at the vertical asymptote, and it will either go to positive or negative infinity as it approaches the line.