Given the relation (3, 5), (8, 2), (-7, 4), and (6, 3), what is the range of the relation?

Given the relation (3, 5), (8, 2), (-7, 4), and (6, 3), what is the range of the relation?

• A. 2, 3, 4, and 5
• B. 1, 2, 3, and 4
• C. 4, 5, 6, and 8
• D. 3, 4, 5, and 6

Answer: (A)

To determine the range of the given relation, we need to consider all the second elements (outputs) of each ordered pair in the relation. The pairs provided are (3, 5), (8, 2), (-7, 4), and (6, 3). From these pairs, we extract the second elements: - From the first pair (3, 5), the second element is 5. - From the second pair (8, 2), the second element is 2. - From the third pair (-7, 4), the second element is 4. - From the fourth pair (6, 3), the second element is 3. Now, we compile these second elements: 5, 2, 4, and 3. The next step is to organize these values to identify unique outputs. When arranged, these values are 2, 3, 4, and 5. Thus, the complete list of unique outputs from the ordered pairs in the relation reveals the range as 2, 3, 4, and 5. Therefore, the correct choice that identifies this set of unique second elements is the first option.

To determine the range of the given relation, we need to consider all the second elements (outputs) of each ordered pair in the relation. The pairs provided are (3, 5), (8, 2), (-7, 4), and (6, 3).

From these pairs, we extract the second elements:

• From the first pair (3, 5), the second element is 5.

• From the second pair (8, 2), the second element is 2.

• From the third pair (-7, 4), the second element is 4.

• From the fourth pair (6, 3), the second element is 3.

Now, we compile these second elements: 5, 2, 4, and 3. The next step is to organize these values to identify unique outputs. When arranged, these values are 2, 3, 4, and 5.

Thus, the complete list of unique outputs from the ordered pairs in the relation reveals the range as 2, 3, 4, and 5. Therefore, the correct choice that identifies this set of unique second elements is the first option.