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3 votes
B) {(-3,-4), (-1, 2), (0, 0), (-3, 5), (2,4)}

Domain:
Range:
Is this relation a function?
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x
-3
-1
2
0
-3
y
4
2
0
5
4
hp

User Toru
by
7.3k points

1 Answer

3 votes

The domain of the given set is {-3, -1, 0, 2}, and the range is {-4, 2, 0, 5, 4}. As the input -3 corresponds to two different outputs, the relation is not a function.

We have been given a set of ordered pairs: {(-3,-4), (-1, 2), (0, 0), (-3, 5), (2,4)}. The domain of a relation consists of all the first elements of the ordered pairs, and in this case, the domain is {-3, -1, 0, 2}.

The range consists of all the second elements of the ordered pairs, thus the range for this relation is {-4, 2, 0, 5, 4}.

To determine if this relation is a function, we need to check if each element of the domain corresponds to exactly one element in the range.

It can be seen that the element -3 in the domain corresponds to two different range elements (-4 and 5), which means the same input gives us two different outputs. This violates the definition of a function. Therefore, this relation is not a function.

User Viniciusjssouza
by
7.8k points