Logistic Functions Part 1
In this lesson on logistic functions, students learn about the algebraic form for a logistic model and its corresponding parameters. The lesson covers the two forms of the logistic model, finite or discrete and continuous, and the three parameters of the model: L, A, and B/K. Students will understand the meaning of L, the limiting value of the model, and how to find A through the initial value and limiting value. The video also explains how B/K are associated with the rate, and how to solve for them. The lesson then finishes with various examples of logistic functions and how to find the parameters given different information.
Be familiar with and recognize the algebraic form for a logistic model, including the corresponding parameters and if those parameters have any meaning in the context of the functional relationship (e.g. does a parameter control the initial value, rate of change (shape), decreasing or increasing (flip), max/min, limiting values, etc.).
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- Notes - Notes from this lesson.
- What is a logistic function?
- What is the difference between a finite / discrete and a continuous logistic function?
- What are the two forms of a logistic model?
- What are the parameters of a logistic model?
- What is the initial rate, initial value, and limiting value of a logistic model and how do you find them?
- What does the graph of a logistic function look like?
- How do you solve for a variable in a logistic function?
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Staff Review
This 3-lesson miniseries on logistic functions is very similar to the exponential function miniseries. You will learn in this lesson about the parameters of a logistic model. The two forms of a logistic model (discrete and continuous) are explained as well as initial value and growth rate. This is a great introduction to logistic functions.
