## How do you find horizontal asymptotes in precalculus?

Pre-Calculus Find the horizontal asymptotes of a rational function

## How do you find vertical and horizontal asymptotes?

The 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.

## How do you find asymptotes of an equation?

**by following these steps:**

- Find the slope of the asymptotes. The hyperbola is vertical so the slope of the asymptotes is.
- Use the slope from Step 1 and the center of the hyperbola as the point to find the point–slope form of the equation.
- Solve for y to find the equation in slope-intercept form.

## How do you find a horizontal asymptote example?

**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 are the rules for horizontal asymptotes?

**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.