Suppose that r = 1.5 and h = l.0 x 106 bacteria. Sketch the updating function, and

Question:

Suppose that r = 1.5 and h = l.0 x 106 bacteria. Sketch the updating function, and find the equilibrium both algebraically and graphically.
A lab is growing and harvesting a culture of valuable bacteria described by the discrete-time dynamical system
bt+1 = rbt - h.
The bacteria have per capita production r, and h bacteria are harvested each generation.