9514 1404 393
Answer:
y = 3x -6
Step-by-step explanation:
The three turning points of the terms divide the graph into 4 pieces. We can consider what functions apply in each piece.
x < -2
All terms are negated:
y = (3 -x) -(x +2) -(5 -x) = -x -4
-2 < x < 3
The first and last terms are negated:
y = (3 -x) +(x +2) +(x -5) = x
3 < x < 5
The last term is negated:
y = (x -3) +(x +2) +(x -5) = 3x -6
5 < x
No terms are negated:
y = (x -3) + (x +2) -(x -5) = x +4
_____
In the region of interest, the equation simplifies to y = 3x -6.
