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

Asked by Abhisek | 11 months ago |  94

##### Solution :-

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 ago

### Related Questions

#### Let R = {(a, b) : a, b, ϵ N and a < b}.Show that R is a binary relation on N

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

#### Let R = {(x, x2) : x is a prime number less than 10}.

Let R = {(x, x2) : x is a prime number less than 10}.

(i) Write R in roster form.

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