find f(-2) in this piecewise function.\nx < 2, y = 5x - 4\nx ≥ 2, y = -\\frac{3}{2}x + 9\nf(-2) = ?
find f(-2) in this piecewise function.\nx < 2, y = 5x - 4\nx ≥ 2, y = -\\frac{3}{2}x + 9\nf(-2) = ?
Answer
Explanation:
Step1: Determine which part of the piece - wise function to use
Since (x=-2) and (-2<2), we use the function (y = 5x-4).
Step2: Substitute (x=-2) into (y = 5x-4)
Substitute (x=-2) into the equation (y = 5x-4). Then (y=5\times(-2)-4). First, calculate (5\times(-2)=-10). Then (y=-10 - 4).
Step3: Calculate the value of (y)
(y=-10-4=-14).
Answer:
(-14)