How to algebraically determine the positive and negative x values for an absolute value function?

label Algebra
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This is for graphing an absolute value function equation. I don't understand this at all and really need help.

Sep 14th, 2015

Thank you for the opportunity to help you with your question!

I will explain this by giving examples that will show clearly the meaning of absolute value

For example given a function

f(x)=|x|=absolute value (x)

This function has two meanings below


 (ii) f(x)=x

Another example


The meanings are

(i) f(x)=-(x-3)=-x+3

(ii) f(x)=x-3

Please let me know if need to clarify further or if you have a specific expression i need to help with

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 14th, 2015

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