This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
You're on a roll — Step 1: Calculate the missing values for each row in the table using the function y = 2x^3 + 5x^2 - 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 Step 2: Complete the table with the calculated values. | 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: |c|c|c|c|c|c|c|c| 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 \\ What's next?