# Slant asymptote

## Everything You Need in One PlaceHomework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered. | ## Learn and Practice With EaseOur proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals. | ## Instant and Unlimited HelpOur personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now! |

#### Make math click 🤔 and get better grades! 💯Join for Free

##### Intros

##### Examples

###### Lessons

**Algebraically Determining the Existence of Slant Asymptotes**Without sketching the graph of the function, determine whether or not each function has a slant asymptote:

**Determining the Equation of a Slant Asymptote Using Long Division**Determine the equations of the slant asymptotes for the following functions using long division.

**Determining the Equation of a Slant Asymptote Using Synthetic Division**Determine the equations of the slant asymptotes for the following functions using long division.

**Graphing Rational Functions Incorporating All 3 Kinds of Asymptotes**Sketch the rational function

$f(x) = \frac{2x^{2} - x - 6}{x + 2}$

by determining:

i) points of discontinuity

ii) vertical asymptotes

iii) horizontal asymptotes

iv) slant asymptote