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
Here are the solutions to the problems. a) To find the range, substitute each value from the domain into the function f(x) = 2x^2 - 3x + 5. Step 1: Calculate f(x) for each value in the domain \-2, -1, 0, 1, 2\. For x = -2: f(-2) = 2(-2)^2 - 3(-2) + 5 = 2(4) + 6 + 5 = 8 + 6 + 5 = 19 For x = -1: f(-1) = 2(-1)^2 - 3(-1) + 5 = 2(1) + 3 + 5 = 2 + 3 + 5 = 10 For x = 0: f(0) = 2(0)^2 - 3(0) + 5 = 0 - 0 + 5 = 5 For x = 1: f(1) = 2(1)^2 - 3(1) + 5 = 2(1) - 3 + 5 = 2 - 3 + 5 = 4 For x = 2: f(2) = 2(2)^2 - 3(2) + 5 = 2(4) - 6 + 5 = 8 - 6 + 5 = 7 Step 2: Collect all the calculated f(x) values to form the range. The range is the set of these values, typically listed in ascending order. The range is \4, 5, 7, 10, 19\. b) To find the value of x when f(x) = -11 for the function f(x) = 3x - 2. Step 1: Set the function equal to -11. 3x - 2 = -11 Step 2: Add 2 to both sides of the equation. 3x = -11 + 2 3x = -9 Step 3: Divide by 3 to solve for x. x = (-9)/(3) x = -3 Send me the next one 📸