# Find the domain and the range of the real function f defined by f (x) = |x – 1|.

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Find the domain and the range of the real function f defined by f (x) = |x – 1|.

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The given real function is f (x) = |x – 1|.

It is clear that |x – 1| is defined for all real numbers.

∴ Domain of f = R Also, for x ∈ R, |x – 1| assumes all real numbers.

Hence, the range of f is the set of all non-negative real numbers.