Problem
EXPONENTS AND FUNCTIONS Table for a linear function The function $g$ is defined by the following rule. \[ g(x)=-x-3 \] Complete the function table. \begin{tabular}{|c|c|} \hline$x$ & $g(x)$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 3 & $\square$ \\ \hline 5 & $\square$ \\ \hline & $\square$ \\ \hline \end{tabular}
Solution
Step 1 ：Substitute each value of $x$ into the function $g(x)=-x-3$ and calculate the corresponding value of $g(x)$.
Step 2 ：When $x=-1$, $g(-1)=-(-1)-3=1-3=-2$.
Step 3 ：When $x=0$, $g(0)=-0-3=-3$.
Step 4 ：When $x=1$, $g(1)=-1-3=-4$.
Step 5 ：When $x=3$, $g(3)=-3-3=-6$.
Step 6 ：When $x=5$, $g(5)=-5-3=-8$.
Step 7 ：The completed function table is: \begin{tabular}{|c|c|} \hline$x$ & $g(x)$ \\ \hline-1 & -2 \\ \hline 0 & -3 \\ \hline 1 & -4 \\ \hline 3 & -6 \\ \hline 5 & -8 \\ \hline \end{tabular}
Step 8 ：Check the results by substituting the values of $x$ back into the function $g(x)=-x-3$ and verifying that we get the corresponding values of $g(x)$ that we found.
