The logistic function is a sigmoidal curve characterized by an initial exponential growth phase, followed by a slowing down as it approaches a maximum limit. Mathematically, it is expressed as: f(x) = L / (1 + e-k(x-x0)) where L represents the curve's maximum value, e is the base of the natural logarithm, k is the steepness of the curve, and x0 is the midpoint of the sigmoid.
