Shift a function. Clip it at zero. Watch its linear pieces change.
ReLU(z) = max(0, z). A linear segment crosses zero at most once. Starting with N maximal linear pieces, clipping produces at most 2N pieces; neighboring flat pieces merge. A continuous function with P maximal pieces has P − 1 interior kinks.
Try the linear ramp: at b = 0 it has two output pieces; at b = 1.25 it has one. More bias does not always mean more kinks.