Complete the table for the function y = (3x−2)/(x+1) for x values ranging from -4 to 5.

Here is the completed table:

$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline 3x-2 & -14 & -11 & -8 & -5 & -2 & 1 & 4 & 7 & 10 & 13 \\ \hline x+1 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline y = \frac{3x-2}{x+1} & 4.67 & 5.5 & 8 & - & -2 & 0.5 & 1.33 & 1.75 & 2 & 2.17 \\ \hline \end{array}$$

Explanation of values:

• For $x = -1$, $x+1 = 0$, so $y = \frac{-5}{0}$ is undefined, indicated by a dash.
• All other values are calculated by substituting $x$ into the expressions $3x-2$, $x+1$, and then dividing to find $y$. For example, when $x=2$, $3x-2 = 3(2)-2 = 4$, $x+1 = 2+1 = 3$, and $y = \frac{4}{3} \approx 1.33$.