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Graph of the piecewise function f(x) defined by two linear equations.

Graph of a piecewise function with two linear segments: f(x) = -2x - 4 for x ≤ 2, and f(x) = 4x - 9 for x > 2, plotted on a coordinate grid.

Graph of a piecewise function with two linear segments: f(x) = -2x - 4 for x ≤ 2, and f(x) = 4x - 9 for x > 2, plotted on a coordinate grid.

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Show Answer Key & Explanations Step-by-step solution for: Worksheet: Piecewise Functions
- For problem 3:
- When x ≤ 2, graph the line y = -2x - 4. Plot points like (2, -8) and (0, -4). Draw a solid dot at (2, -8) since x=2 is included.
- When x > 2, graph the line y = 4x - 9. Plot points like (3, 3) and (2.5, 1). Draw an open circle at (2, -1) since x=2 is not included in this piece.

- For problem 4:
- When x ≤ -2, graph the line y = x - 1. Plot points like (-2, -3) and (-4, -5). Draw a solid dot at (-2, -3).
- When -2 < x ≤ 4, graph the line y = 2x - 1. Plot points like (0, -1) and (4, 7). Draw an open circle at (-2, -5) and a solid dot at (4, 7).
- When x > 4, graph the line y = -3x + 8. Plot points like (5, -7) and (6, -10). Draw an open circle at (4, -4).
Parent Tip: Review the logic above to help your child master the concept of worksheet piecewise functions algebra 2 answers.
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