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

1 Answer
Dec 23, 2016

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]}