    We are given a dynamical system $\dot x = f(x)$ with a scalar state $x$.  The dynamics $f(x)$ is unknown, but we are given two pieces of information:

      <ul>

        <li>the function $f(x)$ is continuous;</li>

        <li>the system has exactly three stable (i.s.L.) equilibrium points.</li>

      </ul>

      Identify the minimum $n_{\text{min}}$ and the maximum $n_{\text{max}}$ number of unstable equilibria that the system can have.  Support your answer with the sketch of two functions $f_{\text