Which function increases at the fastest rate between $x=0$ and $x=8$ ?
Linear Function
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{$f(x)=2 x+2$} \\
\hline$x$ & $f(x)$ \\
\hline 0 & 2 \\
\hline 2 & 6 \\
\hline 4 & 10 \\
\hline 6 & 14 \\
\hline 8 & 18 \\
\hline
\end{tabular}

Exponential Function
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{$f(x)=2^x+2$} \\
\hline$x$ & $f(x)$ \\
\hline 0 & 3 \\
\hline
\end{tabular}