To determine the value of \( f(0) \) for the given function, we need to look at the table and find the row where \( x = 0 \).
Here is the table provided:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
0 & 6 \\
\hline
2 & 7 \\
\hline
4 & 0 \\
\hline
7 & 5 \\
\hline
\end{array}
\][/tex]
- For \( x = 0 \), we see that \( f(0) = 6 \).
Hence, the value of \( f(0) \) is \( 6 \).
Therefore, the answer is:
[tex]\[ 6 \][/tex]