Consider the autonomous differential equation dy/dx = f(x), where the graph of f is given below.
Use the graph of f to answer the following questions. No explanation is needed.
a) Locate the critical points or equilibrium points of the differential equation dy/dx = f and sketch the phase portrait. Critical points: y = -2, -1.
b) On the phase portrait in part b, label the equilibrium points of the differential equation as stable, unstable, or semi-stable.
c) Sketch typical solution curves in the subregions in the xy-plane determined by the graphs of the equilibrium solutions.