Create a table of values for the functions y = 4−x and y = 3x−8 for x values from -1 to 6.

The interval is $-1 \le x \le 6$. Since these are linear functions, we will use integer values for $x$ within this interval:

• For $x=-1$: $y = 4 - (-1) = 4+1 = 5$
• For $x=0$: $y = 4 - 0 = 4$
• For $x=1$: $y = 4 - 1 = 3$
• For $x=2$: $y = 4 - 2 = 2$
• For $x=3$: $y = 4 - 3 = 1$
• For $x=4$: $y = 4 - 4 = 0$
• For $x=5$: $y = 4 - 5 = -1$
• For $x=6$: $y = 4 - 6 = -2$

• For $x=-1$: $y = 3(-1) - 8 = -3 - 8 = -11$
• For $x=0$: $y = 3(0) - 8 = 0 - 8 = -8$
• For $x=1$: $y = 3(1) - 8 = 3 - 8 = -5$
• For $x=2$: $y = 3(2) - 8 = 6 - 8 = -2$
• For $x=3$: $y = 3(3) - 8 = 9 - 8 = 1$
• For $x=4$: $y = 3(4) - 8 = 12 - 8 = 4$
• For $x=5$: $y = 3(5) - 8 = 15 - 8 = 7$
• For $x=6$: $y = 3(6) - 8 = 18 - 8 = 10$

The completed table is: