The curve shown in Figure 4−35 is described by the Michaelis–Menten equation:

rate (v) = Vmax [S]/(KM + [S])

Can you convince yourself that the features qualitatively described in the text are accurately represented by this equation? In particular, how can the equation be simplified when the substrate concentration [S] is in one of the following ranges: (A) [S] is much smaller than the K_M, (B) [S] equals the K_M, and (C) [S] is much larger than the K_M?