Two ovals side by side. The left oval contains numbers 8, 7, 6, and 5. The right oval contains numbers negative 1, 3, and 2.

Question

Determine whether the data in the diagram is a function, and state the domain and range.

(1 point)
Responses

No, it is not a function. The domain is the set {8,7,6,5}
{
8
,
7
,
6
,
5
}
. The range is the set {−1,3,2}
{
−
1
,
3
,
2
}
.
No, it is not a function. The domain is the set left brace 8 comma 7 comma 6 comma 5 right brace . The range is the set left brace negative 1 comma 3 comma 2 right brace .

Yes, it is a function. The domain is the set {−1,3,2}
{
−
1
,
3
,
2
}
. The range is the set {8,7,6,5}
{
8
,
7
,
6
,
5
}
.
Yes, it is a function. The domain is the set left brace negative 1 comma 3 comma 2 right brace . The range is the set left brace 8 comma 7 comma 6 comma 5 right brace .

Yes, it is a function. The domain is the set {8,7,6,5}
{
8
,
7
,
6
,
5
}
. The range is the set {−1,3,2}
{
−
1
,
3
,
2
}
.
Yes, it is a function. The domain is the set left brace 8 comma 7 comma 6 comma 5 right brace . The range is the set left brace negative 1 comma 3 comma 2 right brace .

No, it is not a function. The domain is the set {−1,3,2}
{
−
1
,
3
,
2
}
. The range is the set {8,7,6,5}
{
8
,
7
,
6
,
5
}
.

Answer 1

To determine if the data presented can be classified as a function, we first need to understand the definition of a function. A function assigns exactly one output for each input, meaning that no input can correspond to more than one output.

In this case, we have two sets of numbers:

• Left oval: {8, 7, 6, 5}
• Right oval: {-1, 3, 2}

If we consider the left oval as the domain (inputs) and the right oval as the range (outputs), there are no repetitions or overlapping outputs for the inputs. Each element in the left oval can be paired with one or more elements in the right oval, but every input can only map to one output for it to be considered a function.

Since it seems there are no conflicting mappings implied by the given information, we can conclude that:

• The data in the diagram is a function.
• The domain is the set {8, 7, 6, 5}.
• The range is the set {-1, 3, 2}.

So, the correct response would be:

Yes, it is a function. The domain is the set {8, 7, 6, 5}. The range is the set {-1, 3, 2}.