Let's examine the function table and analyze the outputs to determine whether a given value is an output of the function.
The table provided is:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-6 & 8 \\
\hline
7 & 3 \\
\hline
4 & -5 \\
\hline
3 & -2 \\
\hline
-5 & 12 \\
\hline
\end{array}
\][/tex]
### Step 1: Listing the Outputs
First, list all the output values [tex]\( f(x) \)[/tex] from the table. These are the values in the second column:
- [tex]\( f(-6) = 8 \)[/tex]
- [tex]\( f(7) = 3 \)[/tex]
- [tex]\( f(4) = -5 \)[/tex]
- [tex]\( f(3) = -2 \)[/tex]
- [tex]\( f(-5) = 12 \)[/tex]
So the list of output values is: [tex]\[ 8, 3, -5, -2, 12 \][/tex]
### Step 2: Check If the Given Values Are Outputs
We are asked to determine which of the given values are outputs of the function. The values we need to check are:
- [tex]\(-6\)[/tex]
- [tex]\(-2\)[/tex]
- [tex]\(4\)[/tex]
- [tex]\(7\)[/tex]
Let's compare these values to our list of output values:
- [tex]\(-6\)[/tex]: Not in the list of outputs.
- [tex]\(-2\)[/tex]: In the list of outputs.
- [tex]\(4\)[/tex]: Not in the list of outputs.
- [tex]\(7\)[/tex]: Not in the list of outputs.
### Conclusion
From the given values, only [tex]\(-2\)[/tex] is an output of the function. Therefore, the value that is an output of the function is:
[tex]\[
\boxed{-2}
\][/tex]
