## How do you find the horizontal asymptote?

Another way of finding a horizontal asymptote of a rational function: Divide N(x) by D(x). If the quotient is constant, then y = this constant is the equation of a horizontal asymptote.

## What are the horizontal asymptote rules?

The three rules that horizontal asymptotes follow are based on the degree of the numerator, n, and the degree of the denominator, m. If n < m, the horizontal asymptote is y = 0. If n = m, the horizontal asymptote is y = a/b. If n > m, there is no horizontal asymptote.

**What is horizontal asymptote in rational functions?**

A horizontal asymptote refers to “end behavior like a constant (flat line with zero slope),” which happens when the degree of the numerator is no more than the degree of the denominator. Horizontal Asymptotes of Rational Functions.

**What is the vertical asymptote?**

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. denominator then x = c is an equation of a vertical asymptote.

### What is the best way to find horizontal asymptotes?

How to find asymptotes? If you find a vertical dashed line, find the $x$-intercept that the asymptote passes through. Similarly, when the asymptote is a horizontal line, find the $y$-intercept, $ (0,b)$, that it passes through. The equation of the asymptote will be $y =b$. Now, when given an oblique asymptote, find two points passing through the slanted line.

### How do you find a vertical asymptote?

If you are given a rational function, you can find the vertical asymptote by setting the denominator to zero and solving the equation. Find the horizontal asymptote by dividing the leading terms in the function. A vertical asymptote is a line that a curve approaches but does not cross.

**What are the rules for finding a horizontal asymptote?**

Rules of Horizontal Asymptote You need to compare the degree of numerator “M” to “N” – a degree of the denominator to find the horizontal Asymptote. If M > N, then no horizontal asymptote. If M < N, then y = 0 is horizontal asymptote.

**How do you find the horizontal asymptotes?**

To Find Horizontal Asymptotes: 1) Put equation or function in y= form. 2) Multiply out (expand) any factored polynomials in the numerator or denominator. 3) Remove everything except the terms with the biggest exponents of x found in the numerator and denominator. These are the “dominant” terms.