Rational Functions

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A rational function is formed when a polynomial is divided by another polynomial.

Below are some links to sections dealing with rational functions. There is a wealth of material here that would be helpful to any student of mathematics studying this topic.

The following link takes you to an overview of rational functions. It presents a definition of a rational function as long as some introductory material concerned with finding the roots and discontinuities of rational functions.

Rational Function Definition

 

These next links present some fundamental ideas concerning one of the simplest of rational functions, f(x) = 1/x.

A Very Simple Rational Function: f(x) = 1/x

Transformations of f(x) = 1/x

 

This next link gives a detailed explanation of how to work with a rational function. This includes a complete presentation of how to find roots, discontinuities, and end behavior.

Simple 2nd Degree / 2nd Degree

 

The following links are all to special purpose graphing applets that each present a common rational function. These are useful to expand your understanding of the material covered in the above material.

1st Degree / 1st Degree

1st Degree / 2nd Degree

1st Degree / 3rd Degree

2nd Degree / 1st Degree

2nd Degree / 2nd Degree

2nd Degree / 3rd Degree

3rd Degree / 1st Degree

3rd Degree / 2nd Degree

3rd Degree / 3rd Degree


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