- The function f(x) is defined piecewise with two parts: f(x) = -2x - 1 for x ≤ 2, and f(x) = -x + 4 for x > 2.
- For x values less than or equal to 2, use the first rule f(x) = -2x - 1. For example, at x=0, f(0) = -2(0) - 1 = -1; at x=1, f(1) = -2(1) - 1 = -3; at x=2, f(2) = -2(2) - 1 = -5.
- For x values greater than 2, use the second rule f(x) = -x + 4. For example, at x=3, f(3) = -3 + 4 = 1; at x=4, f(4) = -4 + 4 = 0.
- The graph shows a line with slope -2 for x ≤ 2, ending at the point (2, -5) with a solid dot, indicating inclusion.
- The graph shows a line with slope -1 for x > 2, starting at the point (2, 2) with an open circle, indicating exclusion, and continuing for x > 2.
- The table of values confirms these calculations, showing f(x) values for x = 0, 1, 2 (using the first rule) and x = 2, 3, 4 (using the second rule for x>2, but incorrectly listing x=2 twice).
Parent Tip: Review the logic above to help your child master the concept of piecewise functions worksheet kuta.
