Can somebody please help? i need to graph the piecewise function. i won't forget to give brainliest.

Answer: see graph (attached)
Step-by-step explanation:
Plot coordinates for each line. You MUST include the boundary points.
y = 3x - 5 x ≤ 1
Choose x = -2, then y = 3(-2) - 5 = -11
Must include x = -1, then y = 3(-1) - 5 = -8
Draw a line starting at (-1, -8) and passing through (-2, -11)
y = -2x + 3 -1 < x < 4
Must include x = -1, then y = -2(-1) + 3 = 5
Must include x = 4, then y = -2(4) + 3 = -5
Draw a line segment starting at (-1, 5) and ending at (4, -5).
Note that both are strictly less than so must have open dots.
y = 2 x ≥ 4
Must include x = 4, then y = 2
Choose x = 5, then y = 2
Draw a line starting at (4, 2) and passing through (5, 2)