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.
Graphing rational functions with holes
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