Find the equilibria algebraically

Reference no: EM131013672

1. Consider the following discrete-time dynamical system:

x_t+1 = x_t² + 7x_t + 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.

2368_Graphed Function.png

Reference no: EM131013672

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