1. Representing Functions
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If a relation is a function, how many y-values can any one x-value have?
Domain: {1, 2}
Range: {5, 7, 9}
No, it isn't a function.
For a relation to be a function, each x-value can only be paired with one y-value, but one y-value can be paired with multiple x-values.
Let's look at the given values.
| Domain | Range |
|---|---|
| 1 | 5 |
| 2 | 7 |
| 1 | 9 |
If we examine the table, we can see that there is at least one x-value with multiple y-values. Therefore, the relation cannot be a function.