Toll-Free Info & Ordering
M-F: 9am-5pm (PST):
(877) RAPID-10
24/7 Technical Support
Member Login:
Rapid Learning Member Login

Rapid Courses Catalog
Math Survival Weekly
Get the insider's tips and tricks in how to survive your math course and ace the next test. Subscribe the Web's only math weekly newsletter for students and learn:
- How to Study Math Effectively
- How to Take Math Courses Strategically
- How to Solve Math Problems Systematically
- How to Score High in Math Exams
- How to Master Math Rapidly

Enter your name and email below and get started today!
Your Name * 
Email * 
Math Study Lounge
These study sheets are for quick review on the subjects. Refer to our rapid courses for comprehensive review.
    - Getting Started with Algebra
    - Geometry Basics
    - How to Solve Math Problems
    - Trigonometry Quick Review
    - Statistics At-A-Glance
    - Calculus Preview

Rational Functions

Topic Review on "Title":

Rational functions: 
Any function which can be written of the form:

where and are polynomials.

Domain of a rational function:
The set of points where the function is defined.

Vertical asymptote:
A line of the form such that takes arbitrarily large values near

Horizontal asymptote:
A line of the form such that if tends to infinity, tends to

 The sum of rational functions:


The product of rational functions:


Simple functions
Simple functions are rational functions that cannot be simplified any further.

The division of rational functions:


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial describes rational functions and their properties. The domain of rational functions is described with the use of horizontal and vertical asymptotes. The degrees of the two functions composing of a rational function are important to find the asymptotes of rational functions.

This tutorial describes the operation of rational functions with the use of examples. A rational function can be simplified by factoring the numerator function of rational functions and the denominator function of rational functions. Solving rational equations involves comparing the degrees and evaluating both functions so simplification can be achieved as much as possible.

Tutorial Features:

Specific Tutorial Features:
• Rational functions are reduced using simplification techniques.
• The asymptotes of rational functions are shown in some of the examples.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
Rational functions and their basic definitions
The domain of rational functions
Rational functions and their asymptotes
The operations of rational functions
Simple rational functions
Simplification of rational functions
Polynomial equations
Polynomial equations and their solutions

See all 24 lessons in High School Algebra 2, including concept tutorials, problem drills and cheat sheets: Teach Yourself High School Algebra 2 Visually in 24 Hours

Home  |   Courses  | Preview  |  Review  |   About  |  Contacts
©2014 Rapid Learning Center. Privacy Policy | Disclaimer
Chemistry Survival Publishing, Biology Survival Publishing and Physics Survival Publishing are the divisions of Rapid Learning Inc