Graphing Rational Functions with Holes
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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
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.
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.Try the free Mathway calculator and
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