Question

Domain for {(-3,1), (-2,0), (1,2), (3,-4), (-3,5)}.

A) ${-3, -2, 1, 3}$
B) ${1, 2, -4, 5}$
C) ${-3, -2, 1, 3, -4, 5}$
D) ${-4, -3, -2, 1, 2, 3, 5}$

Answer 1

The domain of the set of ordered pairs {(-3,1), (-2,0), (1,2), (3,-4), (-3,5)} is the unique first elements from each pair, which are {-3, -2, 1, 3}.

Step-by-step explanation:

The domain of a set of ordered pairs is the set of all first elements of these pairs. Considering the set of ordered pairs provided {(-3,1), (-2,0), (1,2), (3,-4), (-3,5)}, the first element of each pair represents the domain. When looking at the given pairs, we see the first elements are -3, -2, 1, and 3. Notice that the pair (-3,1) and (-3,5) have the same first element; however, an element in a set is not repeated. Thus, the domain for this set is {-3, -2, 1, 3}.