Question

Which one of the following sets represents the range of the relation:

{(4,4), (8,2), (6, 7), (3,4)}

A) {2, 4, 7}
B) {3, 4, 6}
C) {2, 4, 7, 8}
D) {3, 6, 7}

Answer 1

Option A), The range of the given set of ordered pairs {(4,4), (8,2), (6, 7), (3,4)} is {2, 4, 7}, which are the unique second elements of the pairs, making the answer option A.

Step-by-step explanation:

The range of a relation is the set of all second elements (y-values) from the ordered pairs. For the relation given by the set {(4,4), (8,2), (6, 7), (3,4)}, we only consider the second numbers in each ordered pair to determine the range. We observe that the second elements are 4, 2, 7, and again 4. Since range is a set of unique elements, we do not repeat the number 4.

Therefore, the range of the provided set is the set of numbers {2, 4, 7}, which corresponds to option A.