Logistic Growth Functions and Models

The video tutorial by Van introduces logistic growth functions, explaining their behavior and characteristics. It covers two main problems: one involving bird population growth and another about disease spread in a city. The tutorial demonstrates how to calculate initial populations, sketch graphs, and determine maximum values using logistic models. The video concludes with a call to action for viewers to like, subscribe, and provide feedback.

What is the primary characteristic of a logistic growth function?

• It decreases exponentially over time.

• It starts with a rapid increase and then slows down.

• It has a constant rate of change.

• It remains constant throughout.

In a logistic growth function, what does the horizontal asymptote represent?

• The average value

• The maximum value

• The minimum value

• The initial value

What is the initial bird population in the given example?

• 400

• 300

• 200

• 100

How is the logistic growth function inputted into the calculator?

• Using a simple addition

• Using a multiplication and logarithm

• Using a subtraction and division

• Using a fraction and exponential function

What is the maximum bird population according to the graph?

• 11,200

• 10,000

• 12,000

• 13,000

At what x-value does the bird population graph start to cap off?

• 320

• 200

• 500

• 400

What is the significance of the midpoint in the logistic growth graph?

• It shows the initial population.

• It indicates the maximum rate of change.

• It marks the end of the growth.

• It represents the average population.

How long does it take for the bird population to reach the halfway point?

• 91 years

• 70 years

• 50 years

• 120 years

What is the initial number of infected people in the disease spread model?

• 12

• 8

• 5

• 10

How many people are infected after one day in the disease model?

• 40

• 15

• 30

• 21