To complete the function table where the output is calculated by adding 4 to each input value, let's proceed step-by-step for each input.
Step 1: Calculate the output for the first input value (-3)
- Input: -3
- Output: -3 + 4
Step 2: Calculate the output for the second input value (1)
- Input: 1
- Output: 1 + 4
Step 3: Calculate the output for the third input value (6)
- Input: 6
- Output: 6 + 4
Now, let's calculate each step:
1. For the input -3:
[tex]\[
-3 + 4 = 1
\][/tex]
2. For the input 1:
[tex]\[
1 + 4 = 5
\][/tex]
3. For the input 6:
[tex]\[
6 + 4 = 10
\][/tex]
Thus, the completed function table is:
[tex]\[
\begin{array}{c|c}
\text { Input }(n) & \text { Output }(n+4) \\
\hline
-3 & 1 \\
1 & 5 \\
6 & 10 \\
\end{array}
\][/tex]
Therefore, the correct completed table looks like this:
[tex]\[
\begin{array}{c|c}
\text { Input }(n) & \text { Output }(n+4) \\
-3 & 1 \\
1 & 5 \\
6 & 10 \\
\end{array}
\][/tex]
Comparing this with the given options, the correct completed function table is not option A. The correct function table is as shown above:
[tex]\[
\left[\begin{array}{c|c}
\text { Input }(n) & \text { Output }(n+4) \\
-3 & 1 \\
1 & 5 \\
6 & 10
\end{array}\right]
\][/tex]
