What is the range of a logistic function?

Jul 19, 2016

The range is between 0 and 1

Explanation:

the logistic function is described as ${e}^{x} / \left(1 + {e}^{x}\right) = \frac{1}{1 + {e}^{-} x}$

as $n \to \infty$ then ${e}^{-} x \to 0$
as $n \to - \infty$ then ${e}^{-} x \to \infty$

Therefore
$\frac{1}{1 + {e}^{-} x}$ approaches $1$ as $n \to \infty$ and $0$ as $n \to - \infty$