Is the relation shown in the table a function? x f(x) 3 2 0 1 5 -7 -3 2 (1 point) Responses No, there are multiple inputs with the same output. No, there are multiple inputs with the same output. No, there are multiple outputs with the same input. No, there are multiple outputs with the same input. Yes, every input has one unique output. Yes, every input has one unique output. Yes, every output has one unique input.

To determine whether the relation shown in the table is a function, we must check how many outputs correspond to each input.

Let's look at the pairs given in the table:

• \( x = 3 \) gives \( f(x) = 2 \)
• \( x = 0 \) gives \( f(x) = 1 \)
• \( x = 5 \) gives \( f(x) = -7 \)
• \( x = -3 \) gives \( f(x) = 2 \)

Now, we analyze the outputs:

• The input \( x = 3 \) yields \( f(x) = 2 \).
• The input \( x = -3 \) also yields \( f(x) = 2 \).

Here, we see that two different inputs (3 and -3) correspond to the same output (2).

In a function, each input must have exactly one output, but it is possible for multiple inputs to share the same output. Therefore, since the relation can have multiple inputs that give the same output, we can conclude:

No, there are multiple inputs with the same output.