book Maths Puzzle Numerical Ability

I don't understand the absolute values of y=|x|
for instance... y= |x-2|
I don't understand what the domain and range are based on and how to graph it!
Please help!

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book Other Question

What is an "additive inverse," "associative," "distributive," "identity of multiplication," "communitive of addition," "communitive of multiplication." square root of 300x15y25=