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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: krzysiek on November 05, 2009, 02:40:07 pm

Title: MODULUS function Question about X - axes intercepts - Are they inclusive in DOM?
Post by: krzysiek on November 05, 2009, 02:40:07 pm

Hello,

When doing a modulus function, and it asks you for the range of the function - well, we know that everything that is negative is reflected to the positive side of the X axes, but when it asks for the range of such functions, do we label them as :

 (0,a) or [0,a) where a represents the highest point of the mod - we're not interested in that.

From my knowledge it is written as 0 inclusive, but I hear that it might be 0 non-inclusive?

Thanks

Title: Re: MODULUS function Question about X - axes intercepts - Are they inclusive in
Post by: krzysiek on November 05, 2009, 02:52:12 pm

Also, in the attached image below - when writing the domain, are the points where it is reflected in the x axes (sharp corners) also considered part of the domain, or must they be given in form
DOM: R/{-2,2} for the example in the picture below
 (image the points where it reflected were -2, 2)

Title: Re: MODULUS function Question about X - axes intercepts - Are they inclusive in DOM?
Post by: THem on November 05, 2009, 03:11:51 pm

R\{-2,2} is the domain of the derivative function
The domain in that case is all real numbers.

Title: Re: MODULUS function Question about X - axes intercepts - Are they inclusive in DOM?
Post by: krzysiek on November 05, 2009, 03:13:02 pm

Cheers for that