Use the image to answer the question.

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

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}
.
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 {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}
.

Answer 1

To determine if the data in the diagram is a function, we need to check if each element in the domain (input set) is related to exactly one element in the range (output set).

In your description, the left oval contains numbers 8, 7, 6, and 5, and the right oval contains numbers -1, 3, and 2. Assuming the left oval represents the outputs and the right oval represents the inputs, for it to be a function, each input must correspond to one and only one output.

Since there are more outputs (8, 7, 6, 5) than inputs (-1, 3, 2), one or more of the input values must map to multiple output values for it not to be a function.

Thus, based on the information provided, it does not satisfy the definition of a function.

The domain (set of inputs) is the set of numbers in the right oval: {-1, 3, 2}, and the range (set of outputs) is the set of numbers in the left oval: {8, 7, 6, 5}.

So, the correct response is:

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