Question

1. What is the domain of the relation

represented by the ordered pairs (-12, 2),
(-6,4), (0, 6), (3, 7), and (9, 9)?
A. {-12, -6,0,3, 9}
B. {2, 4, 6, 7, 9)
C. {3,9}
D. {-12, -6,0, 2, 3, 4, 6, 7,9}

Answer 1

The domain of the given relation is the set of first elements from each ordered pair, which is {-12, -6, 0, 3, 9}, making the correct answer A. {-12, -6, 0, 3, 9}.

Step-by-step explanation:

The domain of a relation in mathematics is the set of all possible inputs (usually x-values) for which the relation is defined. In the context of a set of ordered pairs, the domain is simply the set of all first elements in each ordered pair. Looking at the ordered pairs given (-12, 2), (-6,4), (0, 6), (3, 7), and (9, 9), we can extract the first number from each pair to determine the domain.

• -12 from (-12, 2)
• -6 from (-6, 4)
• 0 from (0, 6)
• 3 from (3, 7)
• 9 from (9, 9)

Therefore, the domain of the given relation is the set of all these first numbers: {-12, -6, 0, 3, 9}. So the correct answer to the question is A. {-12, -6, 0, 3, 9}.