Vertical Asymptotes are one of the 3 kinds of asymptotes in analytic geometry. The three kinds are Horizontal, Vertical and Oblique Asymptotes. Today we will talk about Vertical Asymptote.
It is a line in the graph of a function. A curve line tries to reach the point of the graph (asymptotes) but never touches it. Students usually get confused about it and ask how to find vertical asymptotes. Hey students! Here is your answer.
Finding Vertical Asymptotes
There are 2 methods to find vertical asymptotes of rational numbers
- Graphical Method
- Analytical Method
If you are looking for vertical asymptotes in the rational function graph then we can easily identify whether there are asymptotes that occur or not. Just try to search for any breaks in the graph line.
If you see a function line turns towards upward then this must be a Vertical Asymptote. If the graph line touches the vertical dotted line then it’s not a vertical asymptote.
(When you are using the graphical method remember vertical asymptotes are those x-values that are not allowed.)
If you are trying to figure out how to find vertical asymptote through an analytical equation then you must make the equation to reach an infinite limit. Making the denominator (bottom value) of the equation equal to zero will get your task done.
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Find Vertical Asymptotes On Paper
If you are thinking about how to find vertical asymptote on paper then you should understand it through the following examples.
Practice Will Make Your Work Perfect!
Here are some questions of finding vertical asymptotes for you to make your work perfect.
Asymptotes lines indicate the behavior of a function. A vertical asymptote tells us about the function’s infinite limit. It is important to identify a Vertical Asymptote both in a graph and an analytical equation. You can easily be mastered in these techniques through practice. You can now uncheck vertical Asymptotes topic from your syllabus and go for your Calculus Exam. Best of Luck!