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.