![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
A rational function may or may not have a vertical asymptote.
\If the domain of the rational function is all real numbers, then there is no vertical asymptote.
\Consider the function is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7ceba48b68d6468999626002f80ceea6.png\")
.
The domain of the function is all possible values of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8da2268e35b6b6daab9c47f71c4c8bf4.png\")
.
The domain of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9ad7b3445df115c1a39fd485becb045a.png\")
is all real numbers.
Graph the function:
\![\"\"](\"/userfiles/89-62.gif\")
Observe the graph:
\The function does not have any vertical asymptote.
\Therefore, every rational function does not have a rational function.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
Every rational function does not have a rational function.