Answer:
To answer this question, you need to know the **definition of a function in math**. A function is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable). For each input value, there is a **unique output value** determined by the function.
A table represents a function if for each input value (usually in the x column), there is only one output value (usually in the y column). If an input value has more than one output value, then the table does not represent a function.
Looking at the three tables in the image, you can see that:
- The first table has only one output value for each input value, so it represents a function.
- The second table has two different output values for the same input value (-5), so it does not represent a function.
- The third table also has two different output values for the same input value (-4), so it does not represent a function.
Therefore, the answer is that **only the first table represents a function**.
I hope this helps you understand the concept of a function better.
Explanation: