Piecewise Function Definitions - II

Answer the following question based on the information given below.

f₁(x) = x                  0 ≤ x ≤ 1
        = 1                   x ≥ 1
        = 0                   otherwise

f₂(x) = f₁(–x)           for all x
f₃(x) = –f₂(x)           for all x
f₄(x) = f₃(–x)           for all x