Calculate the missing values for each row in the table using the function y = 2x3 + 5x2 − x − 6.

For $x = -3$:
$y = 2(-3)^3 + 5(-3)^2 - (-3) - 6$
$y = 2(-27) + 5(9) + 3 - 6$
$y = -54 + 45 + 3 - 6 = -12$

For $x = -2$:
$2x^3 = 2(-2)^3 = 2(-8) = -16$
$-x = -(-2) = 2$
$y = -16 + 20 + 2 - 6 = 0$

For $x = -1$:
$2x^3 = 2(-1)^3 = 2(-1) = -2$
$-x = -(-1) = 1$
$y = -2 + 5 + 1 - 6 = -2$

For $x = 0$:
$y = 2(0)^3 + 5(0)^2 - (0) - 6$
$y = 0 + 0 - 0 - 6 = -6$

For $x = 1$:
$y = 2(1)^3 + 5(1)^2 - (1) - 6$
$y = 2 + 5 - 1 - 6 = 0$

For $x = 2$:
$-x = -(2) = -2$
$y = 16 + 20 - 2 - 6 = 28$

x	-4	-3	-2	-1	0	1	2
$2x^3$	-128	-54	-16	-2	0	2	16
$5x^2$	80	45	20	5	0	5	20
-x	4	3	-2	-1	0	-1	-2
-6	-6	-6	-6	-6	-6	-6	-6
y	-50	-12	-0	-2	-6	-0	-28

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{x} & -4 & -3 & -2 & -1 & 0 & 1 & 2 \\ \hline 2x^3 & -128 & -54 & \textbf{-16} & \textbf{-2} & 0 & 2 & 16 \\ \hline 5x^2 & 80 & 45 & 20 & 5 & 0 & 5 & 20 \\ \hline -x & 4 & 3 & \textbf{2} & \textbf{1} & 0 & -1 & \textbf{-2} \\ \hline -6 & -6 & -6 & -6 & -6 & -6 & -6 & -6 \\ \hline \text{y} & -50 & \textbf{-12} & \textbf{0} & \textbf{-2} & \textbf{-6} & \textbf{0} & \textbf{28} \\ \hline \end{array}$$