1. Cynthia used some of the ordered pairs from the set below to make a new set.

{(4, –3), (–2, 5), (5, 4), (7, 2), (2, –7)}

She wrote the domain of this set as {2, 4, 5}. Which ordered pairs from the original set did Cynthia use to make her new set?


a)(–2, 5), (7, 2), (5, 4)
b)(5, 4), (2, –7), (4, –3)
c)(2, –7), (4, –3), (–2, 5), (5, 4)
d)(4, –3), (–2, 5), (5, 4), (7, 2)

To determine which ordered pairs Cynthia used to make her new set, we need to look for the pairs that have domain values of 2, 4, or 5.

The domain of a set of ordered pairs refers to the set of all the x-values (or the first values) in the pairs.

Let's go through each option:

a) (–2, 5), (7, 2), (5, 4)
The domain values of the ordered pairs are -2, 7, and 5. Two of the domain values match Cynthia's domain (2 and 5), so this option is a possibility.

b) (5, 4), (2, –7), (4, –3)
The domain values of the ordered pairs are 5, 2, and 4. All three domain values match Cynthia's domain, so this option is a possibility.

c) (2, –7), (4, –3), (–2, 5), (5, 4)
The domain values of the ordered pairs are 2, 4, -2, and 5. All four domain values match Cynthia's domain, so this option is a possibility.

d) (4, –3), (–2, 5), (5, 4), (7, 2)
The domain values of the ordered pairs are 4, -2, 5, and 7. Only two of the domain values match Cynthia's domain (4 and 5), so this option is not a possibility.

Based on the analysis, the ordered pairs that Cynthia used are either from option (b) or option (c).

Domain means a set containing all possible values of the first value of the selected ordered pairs.

Can you identify which ordered pairs she chose?