1. List three differences and three Similarities. between the given functions Similarities Differences 2. A fruit fly infestation is doubling every day. There are ten flies when the infestation is first discovered. a) Write an equation that relates the number of flies to time. b) Determine the number of flies present after 1 week. c) How fast is the fly population increasing after 1 week? d) How long will it take for the fly population to reach 500? e) How fast is the fly population increasing at this point? 3. Use algebraic reasoning to explain why the function y ze* + e" has no local extrema.4. A pond has a population of algae of 1001]. After 15 min, the population is 4001'}. This population can be modelled by an equation of the form P =Pn(ot) where P is the population after t hours, and Pa. is the initial population. a] Determine the 1iralues of Pu and a. h} Find the algae population after 1|] min. c] Find the rate of change of the algae population after 3 hours