1. Let f(x)=15/1+4e−0.2x .
What are the asymptotes of the graph of f(x)?
Select each correct answer.
y = 4
y = -0.2
y = 0 (I know this is one of them)
y = 15
Can someone please help me find the second one?
Thank you.
2. Let f(x)=15/1+4e−0.2x .
What is the point of maximum growth rate for the logistic function f(x) ?
Round your answer to the nearest hundredth.
(15, 4)
(4.56, 15)
(6.93, 7.5)
(0, 3)
+128405 f(x) = 15
___________
1 + 4e-0.2x
Note that when x is more and more negative.......the denomiator gets larger and larger. this means that the function approaches 0 in this direction...so....you are correct....one asymptote = y = 0
And as x gets extremely "large" 4e-0.2x approaches 0
So the other asymptote is
15
y = ______ = 15
1 + 0
See the graph here : https://www.desmos.com/calculator/e5vzrv4fdv
