Question

R = {(-3,-2), (-3,0), (-1, 2), (1, 2)}. Which numbers that are in the domain?

a) -3
b) -2
c) -1
d) 0
e) 1
f) 2

Answer 1

The domain of the set R includes the numbers -3, -1, and 1, as these are the first elements of the ordered pairs within the set.

Step-by-step explanation:

The set R = {(-3,-2), (-3,0), (-1, 2), (1, 2)} represents a collection of ordered pairs where each pair consists of two elements. The first element of each ordered pair represents the domain in a function, which is the set of all possible inputs. In this context, the domain consists of the numbers -3, -1, and 1.

To identify which numbers are in the domain, we look at the first number of each ordered pair within the set R. We find that:

-3 appears twice as the first element, so it is in the domain.

-2 does not appear as a first element in any pair, so it is not in the domain.

-1 appears once as the first element, so it is in the domain.

0 does not appear as a first element in any pair, so it is not in the domain.

1 appears once as the first element, so it is in the domain.

2 does not appear as a first element in any pair, so it is not in the domain.

Therefore, the numbers in the domain of R are -3, -1, and 1.