page 7: a. the function that produces a logistic growth curve is _, where l represents _ and is sometimes…

page 7: a. the function that produces a logistic growth curve is _, where l represents _ and is sometimes referred to as _. b. the larger b is, the _ the function reaches its _.

page 7: a. the function that produces a logistic growth curve is _, where l represents _ and is sometimes referred to as _. b. the larger b is, the _ the function reaches its _.

Answer

Brief Explanations:

a. The logistic - growth function is $P(t)=\frac{L}{1 + Ae^{-bt}}$. Here, $L$ represents the carrying capacity, which is the maximum population size that the environment can sustain. b. In the logistic - growth function $P(t)=\frac{L}{1 + Ae^{-bt}}$, as $b$ gets larger, the function approaches its carrying capacity $L$ more quickly.

Answer:

a. $P(t)=\frac{L}{1 + Ae^{-bt}}$; the carrying capacity; the upper - limit of the population. b. faster; carrying capacity.