How to Find Vertical Asymptotes

In the previous post we have discussed about trigonometry worksheets and In today’s session we are going to discuss about How to Find Vertical Asymptotes.
In analytical geometry, we will study different types of asymptote such as horizontal, slant and so on. Here we will discuss about vertical asymptote. Vertical asymptote can be defined as a straight line towards a function that approaches closely but never touches the line. The equation of vertical line is given by x = a;

The equation mention above is a vertical asymptotes of the graph that has a function y = f (a); this given function is applicable if one of the given condition is true. The conditions are as follows:

1. lim u → s- f (u) = + ∞;

2. lim u → s+ f (u) = + ∞;

At the given point‘s’ the given function f (a) may or may not be defined and at point x = a the value does not affect the value of asymptote.

Let’s see How to Find Vertical Asymptotes. Here we have to define the function for which we are trying to calculate a vertical asymptote. These vertical asymptote values are just like rational functions. If the denominator value of a rational function tends to zero, it has a vertical asymptote. (know more about Asymptote, here)

After then we need to calculate the value of x that makes the denominator value equal to zero. If you have fraction value of function is y = 1 / (x + 4), then we have to solve the denominator equation that is x + 4 = 0, which is x = -4.

Let’s have small introduction about Horizontal Asymptotes. It can be defined as the horizontal line in such a way that we obtained the graph of a given function tends to a → + ∞.

The horizontal line is given by:

⇒a = c; the given equation is a Horizontal Asymptotes of a function a = f (p). Stoichiometry Help us in solving the reactions in chemistry. It is a branch of chemistry. To get more information about stoichiometry please prefer icse syllabus for class 8.