2.4.6 Graphing functions using derivatives

Problem: Examine the function, given by the parametric equations, in accordance with the given scheme. Plot its graph. \[ \begin{array}{l} f(t)=t^{3}-3 t, \quad g(t)=-3 t^{3}-4 t^{2}+t \\ \left\{\begin{array}{l} x=f(t) \\ y=g(t) \end{array}-\infty