This morning, I received an email from a student on asking how to draw a modulus graph with and without boundary condition.
What is boundary condition?
It is usually the range of values of x (otherwise known as domain) for the graph.
Though I have written a similar post in 2009 here, I feel that a video will show you clearly the step by step and important points to consider. Note that my drawing isn't perfect, afterall it's a freehand draw on my tablet, so you got to bear with my 'not so straight' lines :)
The video is about 7 minutes long. Around 6min 30s, I've included a bonus question to challenge yourself. Go ahead and answer it on the comment section.
Click here to view the video: http://www.youtube.com/watch?v=eTdo_zK9XLk
Just flip (or invert) the whole modulus graph below the x-axis.