# What is the vertical asymptote of the function?

**vertical asymptote**is a

**vertical**line that the graph of a

**function**approaches but never touches. To find the

**vertical asymptote**(s) of a rational

**function**, we set the denominator equal to 0 and solve for x.

Consequently, how do you find the vertical asymptote of a function?

To **find** the **vertical asymptote**(s) of a rational **function**, simply set the denominator equal to 0 and solve for x. We mus set the denominator equal to 0 and solve: This quadratic can most easily be solved by factoring the trinomial and setting the factors equal to 0. There are **vertical asymptotes** at .

**vertical asymptotes**will occur at those values of x for which the denominator is equal to zero: x − 1=0 x = 1 Thus, the graph will have a

**vertical asymptote**at x = 1. To

**find the horizontal asymptote**, we note that the degree of the numerator is two and the degree of the denominator is one.

Moreover, what is the vertical asymptote?

**Vertical asymptotes** are **vertical** lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter **asymptotes** in the context of rationals.)

To determine the **vertical asymptotes** of a rational function, all you need to do is to set the denominator equal to zero and solve. **Vertical asymptotes** occur where the denominator is zero. Remember, division by zero is a no-no. Because you can't have division by zero, the resultant graph thus avoids those areas.