To find the value of [tex]\( f(8) \)[/tex] using the given table of values, follow these steps:
1. Identify the value of [tex]\( x \)[/tex] we are interested in: In this case, we want to find [tex]\( f(8) \)[/tex].
2. Locate the corresponding value in the table:
- Look for the row where [tex]\( x = 8 \)[/tex].
- The table is given as:
[tex]\[
\begin{tabular}{ccccccc}
$x$ & -2 & 0 & 1 & 3 & 5 & 8 \\
\hline
$f(x)$ & 11 & 4 & 8 & 8 & -4 & 5
\end{tabular}
\][/tex]
3. Find the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex]:
- When [tex]\( x = 8 \)[/tex], the corresponding value [tex]\( f(8) \)[/tex] in the table is 5.
Therefore,
[tex]\[
f(8) = 5
\][/tex]
So, the value of [tex]\( f(8) \)[/tex] is [tex]\( 5 \)[/tex].
