Based on the experiments, it appears that f(x) is a piecewise function with three distinct parts. 

In the first part, for values of x less than -64, f(x) returns 0. 

In the second part, for values of x between -64 and 64, f(x) behaves like a ramp function, increasing linearly from 0 to x. 

In the third part, for values of x greater than 64, f(x) returns 1. 

