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.
Last Sunday while coaching my A-Math students on a question on Modulus Functions, we did solving of Modulus equation which is of no big problem as long as you get the basic concept correct.
|x| = x when x >= (more than and equal to) 0 or |x| = -x when x < 0
When we came to the next part of the question which involves Sketching of Modulus Graph, that’s where the interesting happens.
When question involves sketching of graph, we usually do not need
- a table of values. - axis which are evenly marked out.
Sketching of Graph should however includes - critical points (i.e x – intercept(s), y-intercept, turning point (if you are sketching a quadratic graph))
Let’s take a look at the working of 2 different students:
Student A:
Sketch the modulus graph using table of values
Join up the points in a straight line manner
Student B:
Sketch the modulus graph using a series of 2 other graphs
Note the difference in the shape of the 2 graphs.
I certainly hope that my student A is convinced that using a table of values is not recommended for drawing modulus graphs. Moreover, many questions involving modulus could be that of Trigonometry graphs! So be like student B, draw modulus graph using a transformation of a series of graphs
Hi,
I'm Ai Ling. I enjoy coaching students who have challenges with
understanding and scoring in 'O' Level A-Maths and E-Maths.
I develop Maths strategies, sometimes 'ridiculous' ideas to help students in
understanding abstract concepts the fast and memorable way.
I write this blog to share with you the Maths tips and strategies I teach in
my class. I hope all these will help you to enjoy Maths and achieve better
results.
Latest Books by Ai Ling
Available in all Popular Bookstores.
Buy a copy today and boost your Maths results!