Question

A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

Consider the graph of function r.



Use the graph to complete each statement.

Function r has
and
. Based on the instantaneous growth rate, the population decreased
days and the population increased
days.

Answer 1

`r(x) = 0.05 (x^(2)+1 )x-6`

Explanation:

Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.