Relation Not Function 3F234A
1. The problem asks to complete the table so it shows a relation that is not a function.
2. A function is a relation where each input $x$ has exactly one output $y$.
3. To create a relation that is not a function, at least one $x$ value must correspond to more than one $y$ value.
4. The given table is:
| x | y |
|----|----|
| 25 | 10 |
| 40 | 15 |
| | 5 |
| 30 | 20 |
5. The empty $x$ value with $y=5$ can be filled with an $x$ value already in the table to violate the function rule.
6. For example, set $x=25$ for the empty spot, so $x=25$ corresponds to both $y=10$ and $y=5$.
7. The completed table is:
| x | y |
|----|----|
| 25 | 10 |
| 40 | 15 |
| 25 | 5 |
| 30 | 20 |
8. This relation is not a function because $x=25$ has two different $y$ values.
Final answer:
$$\text{Completed table: }\{(25,10), (40,15), (25,5), (30,20)\}$$