Função Logística
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
logística
About this calculator
The Logistic Function is a mathematical function that describes the dynamics of population growth in an ecosystem. It is widely used in fields such as biology, economics and engineering to model processes that exhibit exponential growth.
The Logistic Function formula is y = L/(1 + e^(-k(x-x0)), where y is the output, L is the maximum value of the function, k is the growth rate, x is the time or independent variable and x0 is the inflection point.
The Logistic Function is useful for modeling processes that grow rapidly at first, but slowly towards the end. This is common in biological processes, such as the population of a species, or in economic processes, such as demand for a product.
It is worth noting that the Logistic Function is a nonlinear function, meaning that its growth rate changes over time. This makes the function particularly useful for modeling processes that exhibit significant changes over time.
Frequently asked questions
What is the inflection point in a Logistic Function?
The inflection point is the point at which the growth rate of the Logistic Function changes. This occurs when the Logistic Function reaches its maximum value.
How can I use the Logistic Function in a real situation?
The Logistic Function can be used to model processes that grow rapidly at first, but slowly towards the end. This is common in biological processes, such as the population of a species, or in economic processes, such as demand for a product.
Why is the Logistic Function useful?
The Logistic Function is useful because it can model processes that exhibit exponential growth, which is common in many areas, including biology, economics and engineering.
What is the growth rate in a Logistic Function?
The growth rate is the value that determines the speed at which the Logistic Function grows. It is represented by the variable k in the Logistic Function formula.