you think of these four f-find functions that we thrown down here and we think of approximating this blue curve all we're going to be using is simply the top right the piece that actually sits on the top okay and so the really important thing here is that it's just by fixing these four sets of slopes and biases we this automatically generates an implicit partition of the input space right yet you switch from one partition region to the next whenever these affine functions cross and that's gonna be you know really important for laters this makes