Use the image to answer the question.

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.

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

(1 point)
Responses

Yes, it is a function. The domain is the set {8,7,6,5}
. The range is the set {−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 .

Yes, it is a function. The domain is the set {−1,3,2}
. The range is the set {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 .

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

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

1 answer

To determine whether the data represents a function, we need to identify if each input (domain) is paired with exactly one output (range).

In this case, the left oval has inputs (possibly x-values): 8, 7, 6, and 5. The right oval has outputs (possibly y-values): -1, 3, and 2. The relationship as described seems to suggest that each of the numbers in the left oval can potentially correspond to one of the numbers in the right oval.

Since there’s no information given that indicates multiple outputs for the same input, we can conclude that it indeed represents a function.

Thus, we can summarize the answers as follows:

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

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

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