1. Consider the following discrete-time dynamical system:
xt+1 = xt2 + 7xt + 8
(a) Find the equilibria algebraically.
(b) Apply the Stability Test/Slope Criterion to each of the equilibria you found in (a). What can you conclude?
(c) The updting function is graphed below, along with the diagonal. Cobweb for at least 3 steps sterling from the initial condition x0 = -3.5. Describe in detail the long-term behavior of this solution.
