College Algebra · Module 9 · Rational functions and asymptotes

Rational Walkthrough

Watch 1/x shoot up near zero and flatten far away, see factors cancel into holes, zoom far out to find horizontal asymptotes, divide to find slant ones, and solve rational equations and inequalities step by step. Go at your own pace. Nothing here is graded.

Speed

Think of it like this

Quick check

Wrong answers are fine here. Read why, then try again.

Dr. Akash Garg · College Algebra Study Tools · CC BY-NC-SA 4.0
Use the left and right arrow keys to move between steps. Practice next in the Rational Lab. Dashed red lines are vertical asymptotes, dashed purple lines are horizontal asymptotes, dashed orange lines are slant asymptotes, and an open circle is a hole. Animations loop so you can watch them again; use Pause, Replay or Speed under the picture.