Graphs of logistic functions (Figures 2 and 3) look suspiciously similar to the graph of the hyperbolic

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Graphs of logistic functions (Figures 2 and 3) look suspiciously similar to the graph of the hyperbolic tangent function. Explain the similarity by showing that the logistic function given by Equation 7 can be written as
Po) = M[1 + tanh(kKe - )]

Where c = (ln A) / k. Thus the logistic function is really just a shifted hyperbolic tangent.

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