Consider the function F ( x ) = λ x e − x {\displaystyle F(x)=\lambda xe^{-x}} , where λ > 0 {\displaystyle \lambda >0} is a parameter. Now consider the iterated map x t + 1 = F ( x t ) {\displaystyle x_{t+1}=F(x_{t})} for t = 0 , 1 , 2 , 3 , ⋯ {\displaystyle t=0,1,2,3,\cdots } .
(c) Starting at x 0 {\displaystyle x_{0}} , use cobwebbing to draw x t {\displaystyle x_{t}} up to x 5 {\displaystyle x_{5}} in the two graphs below, which show F ( x ) {\displaystyle F(x)} for two different values of λ {\displaystyle \lambda } .
, where 
is a parameter. Now consider the iterated map 
for 
.
, use cobwebbing to draw 
up to 
in the two graphs below,
which show 
for two different values of 
.
_picture_1.jpg)