Question

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 {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

Answer 1

To determine whether the data in the diagram is a function, we can use the definition of a function: each input (from the domain) must be paired with exactly one output (from the range).

1. If an input corresponds to multiple outputs, it is not a function.
2. If every input corresponds to one and only one output, it is a function.

Based on the options provided, if you are able to discern the pairs from the image, check if any x-values are repeated with different y-values.

Without the actual diagram to evaluate, I will assume based on the given options:

If:

- (a) No, it is not a function. The domain is the set {8, 7, 6, 5}. The range is the set {−1, 3, 2}.
- (b) No, it is not a function. The domain is the set {8, 7, 6, 5}. The range is the set {−1, 3, 2}.
- (c) Yes, it is a function. The domain is the set {−1, 3, 2}. The range is the set {8, 7, 6, 5}.
- (d) Yes, it is a function. The domain is the set {−1, 3, 2}. The range is the set {8, 7, 6, 5}.
- (e) Yes, it is a function. The domain is the set {8, 7, 6, 5}. The range is the set {−1, 3, 2}.

Please refer to your diagram to check if there are any repeating x-values with different y-values.

Once you establish if it is a function or not, you can select the appropriate option for the answer. If no repeating x-values are found, it's a function; if they are, it's not. The domain and range can be stated accordingly based on the input-output pairs visible in the image.

Answer 2

left side
8 pointing to 2
7 pointing to 3
6 pointing to 2
5 pointing to 2

right side
-1
3
2

Answer 3

Based on the information you provided:

- 8 points to 2
- 7 points to 3
- 6 points to 2
- 5 points to 2

### Function Evaluation:
To determine if this set of points represents a function, we need to check if each input (domain) has only one corresponding output (range):

- The input **8** corresponds to the output **2** (one output).
- The input **7** corresponds to the output **3** (one output).
- The input **6** corresponds to the output **2** (one output).
- The input **5** corresponds to the output **2** (one output).

Here, although the input **2** appears multiple times as an output for multiple inputs (6 and 5), this does not violate the rule of a function, as each input is still paired with only one output.

### Conclusion:
The provided data **is a function** because every input corresponds to exactly one output.

### Domain and Range:
- **Domain**: {8, 7, 6, 5}
- **Range**: {-1, 3, 2}

Based on this conclusion, the correct response from the options would be:

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