To determine if the relation shown in the table is a function, we need to check if every input (x value) corresponds to exactly one output (f(x) value).
From the table:
- For x = 3, f(3) = 2
- For x = 0, f(0) = 1
- For x = 5, f(5) = -7
- For x = -3, f(-3) = 2
Each input value (3, 0, 5, -3) is unique, and there are no repeated x values. Even though the output 2 appears for both x = 3 and x = -3, that does not violate the definition of a function since each input must have a unique output, and here, each input is unique.
Therefore, the correct response is:
Yes, every input has one unique output.