To find the value of [tex]\( f(8) \)[/tex] using the given table, follow these steps:
1. Identify the given values:
The table provides pairs of [tex]\( x \)[/tex] and [tex]\( f(x) \)[/tex]:
[tex]\[
\begin{tabular}{ccccccc}
$x$ & -4 & -3 & -1 & 1 & 6 & 8 \\
\hline $f(x)$ & 2 & 7 & 1 & 7 & 9 & -2 \\
\hline
\end{tabular}
\][/tex]
2. Locate [tex]\( x = 8 \)[/tex] in the table:
We need to find the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex].
3. Find the corresponding [tex]\( f(x) \)[/tex] value:
According to the table, when [tex]\( x = 8 \)[/tex], the corresponding [tex]\( f(x) = -2 \)[/tex].
Thus, the value of [tex]\( f(8) \)[/tex] is:
[tex]\[
f(8) = -2
\][/tex]
