The function which is given is,f (x) = |x – 1|

We can clearly see that, the function is well defined for all the real numbers.

Thus, it can be concluded that, the domain of the function is R .

And for every x ∈ R , the function gives all non-negative real numbers.

So, the range of the function is the set of all non-negative real numbers. i.e, [0,∞) .

Answered by Pragya Singh | 11 months agoLet R = {(a, b) : a, b, ϵ N and a < b}.Show that R is a binary relation on N, which is neither reflexive nor symmetric. Show that R is transitive.

Let A = (1, 2, 3} and B = {4} How many relations can be defined from A to B.

Let R = {(x, x^{2}) : x is a prime number less than 10}.

**(i) **Write R in roster form.

**(ii)** Find dom (R) and range (R).

If A = {5} and B = {5, 6}, write down all possible subsets of A × B.