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The logistic function is a function with domain and range the open interval, defined as: Equivalently, it can be written as: Yet another form that is sometimes used, because it makes some aspects of the symmetry more evident, is: For this page, we will denote the function by the letter.We may extend the logistic function to a function, where and.et another form that is sometimes used, because it makes some aspects of the symmetry more evident, is: For this page, we will denote the function by the letter. We may extend the logistic function to a function, where and.
The function was named in 1844â1845 by Pierre Francois FranÃ§ois, verhulst who studied it in relation to population. Growth the initial stage of growth is approximately; exponential, then as saturation, begins the growth, slows and at, maturity growth. stopshe logistic function is the inverse of the natural logit function and so can be used to convert the logarithm of odds into a probability. In mathematicaly notation the logistic function is sometimes written as expit in the same form as logit.