# Graphing Rational Functions

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Examples, solutions, videos, worksheets, and activities to help students learn about how to graph rational functions.

What is a Rational Function?
A rational function is of the form
f(x) = p(x)/q(x) where p(x) and q(x) are polynomials and q(x) ≠ 0.

How to graph rational functions?
Graphs of the form
y = (ax + b)/(cx + d)

1. graphs into hyperbolas
2. vertical asymptote occurs at the x value that makes the denominator = 0.
3. horizontal asymptote occurs at the line y = a/c.

The following diagram shows how to graph rational functions of the form y = (ax + b)/(cx + d). Scroll down the page for more examples and solutions on how to graph rational functions. Rational Functions and their Graphs
Learn about rational functions and their graphs

Graphing a Rational Function - Example 1

Graphing a Rational Function - Example 2

Graphing a Rational Function - Example 3

Graphing a Rational Function - Example 4

Graphing Rational Functions
A couple of examples on graphing rational functions.

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