To ensure that the table represents a function, each input must be associated with exactly one output.
Let’s consider a hypothetical table with inputs and outputs as follows:
| Input | Output | |-------|--------| | 1 | 2 | | 2 | 3 | | 3 | 2 | | 4 | 3 | | 1 | 4 | (This is where the function fails, as input 1 has two different outputs: 2 and 4)
To modify the table so that it represents a function, we can change the output associated with input 1. For example, we could change the output for the first entry from 4 to a different number, say 5:
| Input | Output | |-------|--------| | 1 | 5 | (modified) | 2 | 3 | | 3 | 2 | | 4 | 3 |
Now, each input has exactly one output, and the table represents a function.