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More Lessons for PreCalculus

Math Worksheets

Examples, videos, worksheets, solutions, and activities to help PreCalculus students learn about graphing rational functions with holes.

**How do we find a hole in the graph?**

A "hole" in a graph of a rational equation will occur when a value of x causes both the numerator and the denominator to equal 0.

### Graphing Rational Functions with Holes

**Graphing rational functions with holes**

**How to graph a rational function when there is a common factor in the numerator and denominator?**

#### Graphing a Rational Function with a Hole

#### Holes in Rational Equations

#### Coordinates of a Hole of a Rational Function

This video shows how to find the coordinates of a hole in the graph of a rational function.

More Lessons for PreCalculus

Math Worksheets

Examples, videos, worksheets, solutions, and activities to help PreCalculus students learn about graphing rational functions with holes.

A "hole" in a graph of a rational equation will occur when a value of x causes both the numerator and the denominator to equal 0.

A rational function is a quotient of two functions.

The graph of a rational function usually has vertical asymptotes where the denominator equals 0.

However, the graph of a rational function will have a hole when a value of x causes both the numerator and the denominator to equal 0.

This occurs when there is a common factor in the numerator and denominator.
We can set the common factor to zero and solve for x to find the hole.

The following diagram shows how to graph rational functions with holes. Scroll down the page for more examples and solutions on graphing rational functions.

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