Question

The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is

A: {-1, 1, 3}
B: {-1, -1, 1, 3}
C: {-4, -2, 2, 2}
D: {-4, -2, 2}

Answer 1

The domain is {3, 1, -1}. Because -1 shows up twice, this relation is NOT a function.

The domain is the set of all unique input values, which here is {3, 1, -1}.

Answer 2

Answer: A:{-1,1,3} is the domain of the given relation R.

Explanation:

Given Relation R={(3, −2), (1, 2), (−1, −4), (−1, 2)}

Since, we know that the elements of a relation R are of the type of order pair where the first number is the element of domain and second number is the element of co-domain ( because mapping always occurs from domain to co-domain.)

That is, If R is a relation from A to B where,
`(a,b)\in R` then
`a\in A` and
`b\in B`

Here, the first elements of all the order pair are 3, 1, -1.

Thus, Domain of the relation will be the set of these above three numbers.

Which is, {-1,1,3}.