Answer :
The relation that is also a function is option A {(0, 3), (4, 3), (8, 3)}.
Here's why:
1. In a function, each input (x-value) can only have one corresponding output (y-value). If an input has more than one corresponding output, it's not a function.
2. Looking at option A, all the x-values (0, 4, 8) have the same y-value (3). Each x-value uniquely corresponds to one y-value, making it a function.
3. On the other hand, options B, C, and D have at least one x-value that is repeated with different y-values, violating the rule of a function.
By understanding the concept of functions as mappings where each input has a unique output, you can identify which relations represent functions based on this criteria.
