Question

Determine whether the relation is a​ function, and give the domain and range.
7 to 10
4 to 5
17 to 10

Answer 1

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

The pairs you provided can be interpreted as follows:

- 7 to 10 (7, 10)
- 4 to 5 (4, 5)
- 17 to 10 (17, 10)

Now, let's analyze:

1. **Inputs (x-values)**: 7, 4, 17
2. **Outputs (y-values)**: 10, 5, 10

A function has the property that every input must be associated with exactly one output. In this case, the input 7 corresponds to the output 10, the input 4 corresponds to 5, and the input 17 corresponds to 10.

Since all inputs have a unique output, this relation **is a function**.

Next, let's find the domain and range:

- **Domain**: The set of all x-values (inputs): {7, 4, 17}
- **Range**: The set of all y-values (outputs): {10, 5}

**In summary**:
- The relation is a function.
- Domain: {4, 7, 17}
- Range: {5, 10}