Let `f_1(x)={x, x leq x leq 1 and 1 x gt1 and 0`,otherwise `f_2(x) =f_1 (-x)` for all x abd `f_3(x)=-f_2(x)` for all x and `f_4(x)=-f_3(-x)` for all x Which of the following is necessarily true?
A. `f_(4)(x)= f_(1)(x)` for all x
B. `f_(1)(x)= -f_(3)(-x)` for all x
C. `f_(2)(-x)= f_(4)(x)` for all x
D. `f_(1)(x)+f_(3)(x)=0` for all x
