Question
Mathematics Question on Relations and functions
Find the domain and the range of the real function f defined by f(x) = |x-1|.
Answer
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.