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

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Answer 1 · 2016-12-23T07:11:11

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

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]}

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