A vertical asymptote is a vertical line on a graph that the curve approaches but never touches. It represents a value that the function cannot take on.
To find the vertical asymptote of a function, set the denominator of the function equal to zero and solve for the variable. The resulting value(s) will be the location(s) of the vertical asymptote(s).
Yes, a function can have more than one vertical asymptote. This occurs when there are multiple values that the function cannot take on.
The presence of a vertical asymptote indicates that the function is undefined at that point. It also indicates that the function approaches infinity as the input value approaches the location of the vertical asymptote.
When there is a vertical asymptote, the graph of the function will have a break or gap at the location of the asymptote. The curve will approach the asymptote from both sides, but will never touch it. The behavior of the function near the asymptote will also change, as the function approaches infinity.