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More Lessons for PreCalculus

Math Worksheets

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.

More Lessons for PreCalculus

Math Worksheets

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

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.

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.

Learn about rational functions and their graphs

A couple of examples on graphing rational functions.

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