Question

How do I graph the logistic function `f(x)=3/(1+4e^(-6x))` on a TI-83?

Answer 1

`y in (0, 3)`.Socratic graph is inserted for guidance. y-intercept ( x = 0 ): `3/5`. `y - 0 larr and y = 3 rarr` are horizontal asymptotes.

Explanation:

As `x to 0, x to -oo and`, as `y to 3, x to oo`.

The x-explicit form is `x=1/6ln((4y)/(3-y))`. This clearly reveals the limits of y, for `x in (-oo, oo)`.

graph{x-1/6ln((4y)/(3-y))=0 [-11.125, 11.405, -5.42, 5.84]}