![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The function is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2e37fbe3d1cdca78703e4bfe0b8fbe3f.png\")
.
Apply derivative on each side with respect to ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8da2268e35b6b6daab9c47f71c4c8bf4.png\")
.
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9b0870be8341d81221bb247e575525ea.png\")
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=31f7b3be5020e4dd3996fa913c7fd182.png\")
.
The slope of the function is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9a57928a85e544498a1a6fc34dcb28e2.png\")
when ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0e39f07ea708e2505d07ea8509a9982c.png\")
and the slope is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d19ea8dec317fbe5a411fa4b88fab0db.png\")
when ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8285d3f69ab77a5a5e395cba886652a2.png\")
.
Therefore, the graph of the equation has two horizontal lines.
\![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f1b4d5418500b826a7c90c147daaa1ac.png\")
.
Therefore, the function is discontinuous.
\Jillian choice is the correct choice.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
Jillian choice is the correct choice.