Logistic and Exponential Functions Concepts

This lesson covers exponential and logistic functions, focusing on recognizing growth and decay, writing exponential functions, and understanding the number e. It also explains transformations of exponential graphs and introduces logistic growth functions, which model limited growth scenarios. Examples are provided to illustrate these concepts.

What is the primary focus of the lesson on exponential and logistic functions?

• To understand exponential growth and decay

• To study linear equations

• To learn about polynomial functions

• To explore trigonometric functions

In an exponential function, what role does the variable X play?

• X is the exponent

• X is the constant

• X is the base

• X is the coefficient

How is an exponential function classified as growth?

• If B is negative

• If B is greater than 1

• If B is equal to 1

• If B is less than 1

What is the initial value of an exponential function?

• The slope of the graph

• The value of X

• The Y-intercept

• The value of B

In the example provided, what is the value of B for the exponential function?

• 1

• 2

• Square root of 3

• 3

What transformation occurs when a plus two is inside the function?

• Move up two

• Move down two

• Move left two

• Move right two

What is the approximate value of the number e?

• 2.718

• 3.14

• 1.618

• 1.414

How is the number e defined using a function?

• 1 + 1/X raised to the X

• 1/X

• X squared

• X cubed

What is a logistic growth function used for?

• Modeling quadratic growth

• Modeling unlimited exponential growth

• Modeling limited exponential growth

• Modeling linear growth

In the logistic growth example, what is the initial number of infected students?

• 800

• 16

• 160

• 1600