# How do I graph the logistic function #P(t)=11.5/(1+12.8e^(-0.0266t))# on a TI-83?

##### 1 Answer

Dec 25, 2016

See the Socratic graph and the explanation.

graph{x-1/.266ln((12.8y)/(11.5-y))=0 [-10, 10, -5 5]}

#### Explanation:

graph{x-1/.266ln((12.8y)/(11.5-y))=0 [-100, 100, -20, 20]}

P>0.

The inverse t-sxplicit formula

The P-intercept ( t = 0 ) is 11.5/13.8=0.8333, nearly.

As

As

So, P = 11.5 is aother horizontal asymptote, besides P = 0.

The second graph is on a befitting scale to reveal this important

characteristic if this logistic function.

I hope that these data and graph will be useful.