# How do you solve for horizontal asymptotes?

## How do you solve for horizontal asymptotes?

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.

## What does horizontal asymptote mean in a problem?

A horizontal asymptote is a horizontal line that indicates where a function flattens out as the independent variable gets very large or very small. A function may touch or pass through a horizontal asymptote.

**How do you find the equation of the asymptote from an equation?**

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value). Find the asymptotes for the function . The graph has a vertical asymptote with the equation x = 1.

### What is horizontal asymptote example?

Certain functions, such as exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (bx) + c always has a horizontal asymptote at y = c. For example, the horizontal asymptote of y = 30e–6x – 4 is: y = -4, and the horizontal asymptote of y = 5 (2x) is y = 0.

### How do you solve for vertical and horizontal asymptotes?

To find the horizontal asymptotes apply the limit x→∞ or x→ -∞. To find the vertical asymptotes apply the limit y→∞ or y→ -∞. To find the slant asymptote (if any), divide the numerator by denominator.

**How do you find the asymptote of an equation example?**

How to Find Horizontal Asymptotes?

- If the degree of the polynomials both in numerator and denominator is equal, then divide the coefficients of highest degree terms to get the horizontal asymptotes.
- If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptotes will be y = 0.