Absolute Value function question (2 Viewers)

[ek102]

I'm unsure about question D. Would anybody mind explaining how to do it?

 

[InteGrand]

I'm unsure about question D. Would anybody mind explaining how to do it?

Is the question asking to sketch the graph of y = 2|x|? To do this, the graph is that of y = 2x for x >= 0, and y = -2x (downward sloping line) for x < 0. The graph is sketched below:

http://wolframalpha.com/input/?i=Sketch+the+graph+of+y+=+2|x|&x=0&y=0

 

[jamesh1234]

Since 2 itself is a positive number, you can just change 2|x| to |2x| without altering the plot of the function. It might be more intuitive/easier that way.

James Huang
Tutor of Maths Ext 1 - 93 in 2014
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