First, find the value of $f(x)$ when $x=-3$ \[ \begin{aligned} f(-3) & =2^{(-3+1)+4} \\ & =2^{-2}+4 \\ & =\square+4 \\ & =\square \end{aligned} \] Continue in a similar manner to complete the table for other selected values of $x$. Use a calculato \begin{tabular}{|c|c|} \hline$x^{4}$ & $f(x)=2^{(x+1)}+4$ \\ \hline-3 & \\ \hline-2 & \\ \hline-1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular}

Step 1 ：First, find the value of \(f(x)\) when \(x=-3\)

Step 2 ：\[\begin{aligned}f(-3) & =2^{(-3+1)+4} \\& =2^{-2}+4 \\& =\frac{1}{4}+4 \\& =4.25\end{aligned}\]

Step 3 ：Continue in a similar manner to complete the table for other selected values of \(x\).

Step 4 ：For \(x=-2\), \(f(x) = 2^{(-2+1)}+4 = 2^{-1}+4 = \frac{1}{2}+4 = 4.5\)

Step 5 ：For \(x=-1\), \(f(x) = 2^{(-1+1)}+4 = 2^{0}+4 = 1+4 = 5\)

Step 6 ：For \(x=0\), \(f(x) = 2^{(0+1)}+4 = 2^{1}+4 = 2+4 = 6\)

Step 7 ：For \(x=1\), \(f(x) = 2^{(1+1)}+4 = 2^{2}+4 = 4+4 = 8\)

Step 8 ：For \(x=2\), \(f(x) = 2^{(2+1)}+4 = 2^{3}+4 = 8+4 = 12\)

Step 9 ：Final Answer: The values of the function \(f(x) = 2^{(x+1)}+4\) for the given \(x\) values are as follows:

Step 10 ：\[\begin{tabular}{|c|c|}\hline\(x\) & \(f(x)=2^{(x+1)}+4\) \\\hline-3 & 4.25 \\\hline-2 & 4.5 \\\hline-1 & 5 \\\hline 0 & 6 \\\hline 1 & 8 \\\hline 2 & 12 \\\hline\end{tabular}\]