# Find the domain and range of {(x,y)|y=|x-2|}Show complete solution and explain the answer.

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The domain of a function is the set of values that can be taken by the independent variable. Here y = |x - 2|, the independent variable is x.

The set of values that x can take is R.

As the absolute value of any number cannot be negative, the range of the function is [0, inf.)

**The required domain is R and the range is [0, inf.)**