The doubling time for a certain type of cell is 4 h. The number of cells after t hours is described by N(t)=N_{0}2^{t/4 }where N_{0} is the initial population.

a) Sketch a graph of the function for initial population of 3 bacteria.

b) Determine the number of cells after 24 hours.

c) How would the graph and the equation change if the doubling time were 2 h?

d) What are the domain and range of this function in the context of this problem?

I know a b and c I'm just stuck with d. If anyone could help me I would appreciate it :)

Julius
Apr 20, 2017