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:
- Inputs (x-values): 7, 4, 17
- 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}