Function

A

F(x)^3=F(x)
F(x) [F(x)^21] =0
F(x)=O or F(x) =+1,1Also it has to be discontinuous at x=o
So from infy to zero , at 0 , from 0 to infy .
Fx will take value 0,1,1
So make combinations
Like
0,0,1
0,1,0
1,0,0

@Kirito why we are making combination ?

@AlfaazSharma
Like this graphs of fx are possible
So combination