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
Step 1: Identify the correct interval for x=1. The given piecewise function is: f(x) = -2x - 2 & if x -5 \\ 2x^2 + 2x & if -5 < x 5 \\ (3)/(4)x - 1 & if x > 5 For x=1, we check which condition it satisfies: • 1 -5 is false. • -5 < 1 5 is true. • 1 > 5 is false. So, we use the second expression: f(x) = 2x^2 + 2x. Step 2: Substitute x=1 into the chosen expression. f(1) = 2(1)^2 + 2(1) Step 3: Calculate the value. f(1) = 2(1) + 2(1) \\ f(1) = 2 + 2 \\ f(1) = 4 The value of the function at x=1 is 4. Send me the next one 📸