67.5k views
3 votes
B) {(-3,-4), (-1, 2), (0, 0), (-3, 5), (2,4)}

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

User Toru
by
7.9k 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
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories