To determine the value of \( f(0) \) from the given table, follow these steps:
1. Identify the row in the table where \( x \) is equal to 0.
2. Read the corresponding value in the column labeled \( f(x) \).
Here is the provided table for reference:
[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]
In the table, when \( x = 0 \), the value of \( f(x) \) is 6. Therefore, \( f(0) \) is \( 6 \).
So the correct answer is:
[tex]\[ \boxed{6} \][/tex]
