We need to find the actual answers for f(x) to the different values of x in the tables.
Notice that the x values of the tables are all the same: -2, -1, 0, 1, and 2
So we proceed to evaluate y for the 5 values of x given above:
For x = -2 then y = 2 (-2) + 2 = -4 + 2 = -2
For x = -1 then y = 2 (-1) + 2 = -2 + 2 = 0
For x = 0 then y = 2 (0) + 2 = 0 + 2 = 2
For x = 1 then y = 2 (1) + 2 = 2 + 2 = 4
For x = 2 then y = 2 (2) + 2 = 4 + 2 = 6
Then we pick the table that contains the following pattern for y values associated with the x-values -2, -1, 0, 1, 2 given below
-2, 0 , 2, 4, 6
which agrees with the values shown in the fourth selection option.