Use the image to answer the 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 {−1,3,2}
. The range is the set {8,7,6,5}
.
No, it is not a function. The domain is the set start set negative 1 comma 3 comma 2 end set. The range is the set start set 8 comma 7 comma 6 comma 5 end set.

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 {8, 7,6,5}
. The range is the set start set negative 1 comma 3 comma 2 end set.

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 start set negative 1 comma 3 comma 2 end set. The range is the set start set 8 comma 7 comma 6 comma 5 end set

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 start set 8 comma 7 comma 6 comma 5 end set. The range is the set start set negative 1 comma 3 comma 2 end set.
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine if the data represented in the diagram is a function, we need to apply the definition of a function: each element in the domain (input) must be associated with exactly one element in the range (output).

Since I'm unable to see the image, I'll explain how you can decide if it's a function based on the provided responses.

1. Check if any inputs (elements of the domain) have more than one output (element of the range).
- If they do, then it is not a function.
- If each input corresponds to only one output, then it is a function.

2. Identify the domain and range from the diagram.

Given the responses, let's analyze them:

- If the response states that the data is "not a function" and identifies the domain and range, there may be overlapping outputs for certain inputs.
- If the response states that it "is a function," it claims that every input corresponds to a unique output.

Now, let's look at the sets provided in the responses:
- Domain = {−1, 3, 2} or {8, 7, 6, 5}
- Range = {8, 7, 6, 5} or {−1, 3, 2}

Based on the typical attributes of a function:
- A valid response that confirms it is a function must indicate a one-to-one correspondence between each input from the domain and an output from the range.

Choose the response that matches the attributes of the diagram you can see:
- If it is a function: select the option stating "Yes, it is a function" and verifies the respective domain and range.
- If it is not a function: select an appropriate option stating "No, it is not a function" along with the correct sets for domain and range.

Make sure to analyze the image you have to identify unique pairings correctly.