The function f is such that $\mathrm { f } ( 0 ) = 0$, and $x \mathrm { f } ( x ) > 0$ for all non-zero values of $x$. It is given that
$$\int _ { - 2 } ^ { 2 } \mathrm { f } ( x ) \mathrm { d } x = 4$$
and
$$\int _ { - 2 } ^ { 2 } | \mathrm { f } ( x ) | \mathrm { d } x = 8$$
Evaluate
$$\int _ { - 2 } ^ { 0 } \mathrm { f } ( | x | ) \mathrm { d } x$$
A - 8
B - 6
C - 4
D - 2
E 2
F $\quad 4$
G 6
H 8