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

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

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Answer 1 · 2016-12-23T07:11:11

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

Explanation:

As $x \to 0, x \to - \infty and$ $x to 0, x to -oo and$ , as $y \to 3, x \to \infty$ $y to 3, x to oo$ .

The x-explicit form is $x = \frac{1}{6} ln (\frac{4 y}{3 - y})$ $x=1/6ln((4y)/(3-y))$ . This clearly reveals the limits of y, for $x \in (- \infty, \infty)$ $x in (-oo, oo)$ .

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

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

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