Question

Graph f(x) = |3x+2| + |2-3x|

Answer 1

I3x+2I = 3x+2 , x>-2/3
= - (3x+2) , x<-2/3

I2-3xI = 2-3x , x< 2/3
= -(2-3x) , x>2/3
you can now write the fn in three ranges 1) from negative infinity to -2/3
2) -2/3 to 2/3
3) 2/3 to infinty

Answer 2

so the following equation should be
= 3x+2 - (2-3x) for x >= 1, 3x+2+2-3x for -2/3 <= x <= 2/3, -(3x+2) + 2 - 3x for x < -2/3

Answer 3

which equals to
6x for x>= 2/3
4 fpr -2/3 <= x < 2/3
-6x for x< - 2/3