This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To complete the table of values for the relation y = x^2 + 2x + 3 for the range -2 x 5, we will substitute each integer value of x from -2 to 5 into the equation to find the corresponding y value. Step 1: Calculate y for each x value. For x = -2: y = (-2)^2 + 2(-2) + 3 = 4 - 4 + 3 = 3 For x = -1: y = (-1)^2 + 2(-1) + 3 = 1 - 2 + 3 = 2 For x = 0: y = (0)^2 + 2(0) + 3 = 0 + 0 + 3 = 3 For x = 1: y = (1)^2 + 2(1) + 3 = 1 + 2 + 3 = 6 For x = 2: y = (2)^2 + 2(2) + 3 = 4 + 4 + 3 = 11 For x = 3: y = (3)^2 + 2(3) + 3 = 9 + 6 + 3 = 18 For x = 4: y = (4)^2 + 2(4) + 3 = 16 + 8 + 3 = 27 For x = 5: y = (5)^2 + 2(5) + 3 = 25 + 10 + 3 = 38 Step 2: Construct the table of values. |c|c|c|c|c|c|c|c|c| x & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 \\ y & 3 & 2 & 3 & 6 & 11 & 18 & 27 & 38 \\ The completed table of values is: |c|c|c|c|c|c|c|c|c| x & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 \\ y & 3 & 2 & 3 & 6 & 11 & 18 & 27 & 38 \\ Send me the next one 📸