A vertical asymptote is a vertical line on a graph that a curve approaches but never touches. It represents values of the independent variable where the function is undefined.
To find the vertical asymptote of a function, set the denominator of the function equal to zero and solve for the independent variable. The resulting value will be the equation of the vertical asymptote.
Yes, a function can have multiple vertical asymptotes. This occurs when there are multiple values of the independent variable that make the denominator of the function equal to zero.
A vertical asymptote appears as a vertical line that extends from the bottom to the top of the graph. The curve of the function will approach the line but never touch it.
Finding the vertical asymptote of a function is important because it helps to identify values of the independent variable where the function is undefined. It also helps to understand the behavior of the function and its limits as the independent variable approaches certain values.