# Can a graph of a rational function have no vertical asymptote?

**Can a graph of a rational function have no vertical asymptote**? There is

**no vertical asymptote**if the degree of the numerator of the

**function**is greater than the degree of the denominator It is not possible.

**Rational functions**always

**have vertical asymptotes**.

In respect to this, what function does not have a vertical asymptote?

Since the denominator **has no** zeroes, then there are no **vertical asymptotes** and the domain is "all x". Since the degree is greater in the denominator than in the numerator, the y-values will be dragged down to the x-axis and the **horizontal asymptote** is therefore "y = 0".

Furthermore, how do you find vertical asymptotes and holes? Set each factor in the denominator equal to zero and solve for the variable. If this factor does not appear in the numerator, then it is a **vertical asymptote** of the **equation**. If it does appear in the numerator, then it is a **hole** in the **equation**.

In this manner, how do you know if a rational function has a vertical asymptote or not?

Finding **Vertical Asymptotes** of **Rational Functions**. An **asymptote** is a line **that** the graph of a **function** approaches but never touches. The curves approach these **asymptotes** but never cross them. To find the **vertical asymptote**(s) of a **rational function**, simply set the denominator equal to 0 and solve for x.

How do you find the asymptotes of a function?

**Finding Horizontal Asymptotes of Rational Functions**

- If both polynomials are the same degree, divide the coefficients of the highest degree terms.
- If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.