Use the function f(t)= l/1+ce^-bt. to answer the following questions
a. the function is known as what
type of growth function
b. true or false? this type of function models population growth that is unbounded
c. what does l represent in this function?

a.

Logistic growth function

b.

False

c.

Carrying capacity

Step-by-step explanation:

a.

The function given by the equation;

f(t)= L/1+Ce^-bt is known as a Logistic growth function.

The logistic growth function models a type of population growth where the growth is limited by a number of factors such as water, food, sunlight, space and other resource and thus the population is bounded.

b.

This type of function models population growth that is bounded. In logistic growth, the population continues to grow until it reaches the carrying capacity. This is the maximum number of individuals an ecosystem can comfortably support.

c.

The parameter L represents the carrying capacity. This refers to the maximum number of individuals an ecosystem can comfortably support.

As t tends to infinity, f(t) approaches L

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: