Question

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

Answer 1

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.