Question

find domain and range for the function: f(x) = |x-1|​

I need answer with steps

Answer 1

Answer:

f(x)=∣x−1∣

It is clear that ∣x−1∣ is defined for all real numbers.

Therefore, 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.

Hope it helps you.