Question

#7.
Input
Output
Definition: A function is a rule that assigns EXACTLY ONE output to each possible input.

This table DOES NOT represent a function.

Change at least one number in the table so that it DOES represent a function.

Answer 1

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.