Using Graph to Find Range of a Function

Q.

The function $f\left(x\right)=2\left|x\right|+|x+2|-||x+2|-2\left|x\right||$
has a local minimum or a local maximum at x=

1. -2

2. $\frac{-2}{3}$

3. 2

4. $\frac{2}{3}$