1)y=x+|x+3| 2)y=x+|2x+3| 3)y=2x-|x+1|+2 3) y=|x|+2-x

Приравняем функции к 0 и найдем корни уравнения:

1) y = x + |x + 3|; 

x + |x + 3| = 0; 

{ x + x + 3 = 0; 

x - (x + 3) = 0; 

{ 2 * x + 3 = 0; 

x - x - 3 = ; 

2 * x + 3 = 0; 

2 * x = -3; 

x = -3/2. 

2) y = x + |2 * x + 3|; 

x + |2 * x + 3| = 0;

{ x + 2 * x + 3 = 0;

x - 2 * x - 3 = 0;

{ 3 * x = -3;

-x = 3;

{ x = -1;

x = -3.

3) y = 2 * x - |x + 1| + 2; 

2 * x - |x + 1| + 2 = 0;

{ 2 * x - x - 1 + 2 = 0;

2 * x + x + 1 + 2 = 0;

{ x + 1 = 0;

3 * x+ 3 = 0;

{ x = -1;

x = -1;

4) y = |x| + 2 - x; 

|x| + 2 - x = 0; 

{ x + 2 - x = 0; 

-x + 2 - x = 0; 

-2 * x = -2; 

x = 1.