Question

Find the domain and the range of the relation. Also determine whether the relation is a function.
-4
-3
-2
-1
1
2
3
4
5
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
x
y

Answer 1

To analyze the relation given by the sets of x-values and y-values:

### Values Provided
- **x-values (inputs)**: -4, -3, -2, -1, 1, 2, 3, 4, 5
- **y-values (outputs)**: -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6

### Domain and Range
- **Domain**: The domain consists of all the unique x-values in the relation.
- From the x-values provided, the domain is:
\[
\text{Domain} = \{-4, -3, -2, -1, 1, 2, 3, 4, 5\}
\]

- **Range**: The range consists of all the unique y-values in the relation.
- From the y-values provided, the range is:
\[
\text{Range} = \{-6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6\}
\]

### Function Determination
To determine whether the relation is a function, we need to check if each input (x-value) corresponds to exactly one output (y-value).

- In the provided x-values:
- Each x-value appears to correspond to a unique y-value when considered as pairs.

Since there are no repeating x-values paired with different y-values in the data provided, we can conclude that **the relation is a function**.

### Summary
- **Domain**: \{-4, -3, -2, -1, 1, 2, 3, 4, 5\}
- **Range**: \{-6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6\}
- **Function**: Yes, it is a function.