What is the domain of the relation { (3, 4), (4, 3), (4, 4), (5, 2) }?

A) {2, 3, 4, 5}

B) {3, 4, 5}

C) {4}

D) {2, 3, 4}

B) {3, 4, 5}

Step-by-step explanation:

Domain: All values that can go into a function or a relation as input are called domain. When we enter these values into a function we get range of the function.

Therefore if we write the relation in the ordered pair form of (x, y) all x values are domain.

In the given relation { (3, 4), (4, 3), (4, 4), (5, 2) }, 4 appears twice but we will write it only once because of the definition of function i. e. function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y

Choice B is correct answer.

Step-by-step explanation:

We have given a relation.

{ (3, 4), (4, 3), (4, 4), (5, 2) }

We have to find the domain of above relation.

If f is a function from X to Y then X is called the domain of f and Y is called range of f.

Domain is defined as the input of function.

Hence, the input values of given function is:

3,4,4,5

Now, dom f = {3,4,5} which is the answer.