Answer to Question #21675 in Discrete Mathematics for Vanessa

Question

Consider the difference equation un = f(un−1) where the function f(x) is given by
f(x)= {1/5 x + 4 x<=5}
{-3x + 20 x>5 }
(a) If u0 = 5, how does the resulting sequence behave as n ! 1?
(b) If u0 < 5, how does the resulting sequence behave as n ! 1? Draw a cobweb
diagram to illustrate your answer.
(c) If u0 > 5, how does the resulting sequence behave as n ! 1? Draw a cobweb
diagram to illustrate your answer

Answer 1

Unfortunately, your question requires a lot of work and cannot be done for free.
Submit it with all requirements as an assignment to our control panel and we'll assist you.