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

Solution:

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

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

Therefore,

The 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,

NCERT Solutions Class 11 Maths Chapter 2 Exercise ME Question 5

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

Summary:

A function f defined by f (x) = f (x) = |x - 1| is given. We have found that the range of f is the set of all non-negative real numbers