Piecewise function graph for problem 3.

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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- For problem 3:
- Plot the line y = -2x - 4 for x ≤ 2. This is a line with slope -2 and y-intercept -4. At x=2, y=-8. Use a closed circle at (2, -8).
- Plot the line y = 4x - 9 for x > 2. This is a line with slope 4 and y-intercept -9. At x=2, y=-1, but since x>2, use an open circle at (2, -1) and start the line from there.
- The graph has a jump discontinuity at x=2.

- For problem 4:
- Plot the line y = x - 1 for x ≤ -2. This is a line with slope 1 and y-intercept -1. At x=-2, y=-3. Use a closed circle at (-2, -3).
- Plot the line y = 2x - 1 for -2 < x ≤ 4. This is a line with slope 2 and y-intercept -1. At x=-2, y=-5, but since x>-2, use an open circle at (-2, -5). At x=4, y=7. Use a closed circle at (4, 7).
- Plot the line y = -3x + 8 for x > 4. This is a line with slope -3 and y-intercept 8. At x=4, y=-4, but since x>4, use an open circle at (4, -4) and start the line from there.
- The graph has jump discontinuities at x=-2 and x=4.

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