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Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $4 \leq x \leq 5$. \begin{tabular}{|c|c|} \hline$x$ & $f(x)$ \\ \hline 3 & 3 \\ \hline 4 & 9 \\ \hline 5 & 27 \\ \hline 6 & 81 \\ \hline \end{tabular}
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