Question

The domain of the following relation: R: {(-4, 3), (3,6), (-2, 1), (3, 6)} is (1 point)

A) {1, 3, 6}
B) {-4, 3, -2, 3}
C) {-4, -2,3)
D) No domain exists

Answer 1

The domain of the relation R: {(-4, 3), (3,6), (-2, 1), (3, 6)} is the set of unique x-values, which is {-4, -2, 3}, or Option C.

Step-by-step explanation:

The domain of a relation is the set of all first elements (x-values) in the ordered pairs. In the relation R: {(-4, 3), (3,6), (-2, 1), (3, 6)}, the domain would include the x-values from each ordered pair.

Looking at the relation R, the x-values are -4, 3, -2, and 3. However, since domain elements do not repeat, we ignore the repeat of '3'. Therefore, the domain of the relation R is the set of unique x-values which are {-4, -2, 3}.

The correct answer is Option C: {-4, -2, 3}.