Question

Find the logistic function f with the given properties.

f has limiting value 3 and passes through (0, 1) and (1, 2).

Answer 1

\[\large f(x) = \frac{3}{1+Ce^{-kx}}\]
plug in 2 points to find C and k
answer:
\[\large f(x) = \frac{3}{1+2(4)^{-x}}\]