Graph the function $y=\left(\frac{1}{2}\right)^{x-5}-2$ using the given table of values and following the instructions below. \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-10 & 32766 \\ \hline-9 & 16382 \\ \hline-8 & 8190 \\ \hline-7 & 4094 \\ \hline-6 & 2046 \\ \hline-5 & 1022 \\ \hline-4 & 510 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-3 & 254 \\ \hline-2 & 126 \\ \hline-1 & 62 \\ \hline 0 & 30 \\ \hline 1 & 14 \\ \hline 2 & 6 \\ \hline 3 & 2 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 4 & 0 \\ \hline 5 & -1 \\ \hline 6 & -1.5 \\ \hline 7 & -1.75 \\ \hline 8 & -1.875 \\ \hline 9 & -1.9375 \\ \hline 10 & -1.96875 \\ \hline \end{tabular}

Step 1 ：Given the function \(y=\left(\frac{1}{2}\right)^{x-5}-2\), we are asked to graph it using the provided table of values.

Step 2 ：The table of values is as follows: \n\n\(-10, 32766\), \(-9, 16382\), \(-8, 8190\), \(-7, 4094\), \(-6, 2046\), \(-5, 1022\), \(-4, 510\), \(-3, 254\), \(-2, 126\), \(-1, 62\), \(0, 30\), \(1, 14\), \(2, 6\), \(3, 2\), \(4, 0\), \(5, -1\), \(6, -1.5\), \(7, -1.75\), \(8, -1.875\), \(9, -1.9375\), \(10, -1.96875\).

Step 3 ：We plot these points on a graph.

Step 4 ：The graph shows that the function decreases rapidly for negative x values, reaches a minimum at x=5, and then slowly increases for positive x values.

Step 5 ：The function appears to be an exponential decay function, which is consistent with the form of the function.

Step 6 ：\(\boxed{\text{The graph of the function } y=\left(\frac{1}{2}\right)^{x-5}-2 \text{ using the given table of values shows an exponential decay.}}\)