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ASAP! Please answer this ASAP! THANK YOU!

Let f(x) = 18/1+3e^-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer to the nearest hundredth.

ASAP! Please answer this ASAP! THANK YOU! Let f(x) = 18/1+3e^-0.1x What is the point-example-1

1 Answer

10 votes

Answer:

(0, 4.5)

Explanation:

f(x)=c/1+Ae^-Bx

Y=C

C=18 A=3 -B=-0.1

*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*

f(0)=18/1+3e^-o.1(0)

= 18/1+3e^0

=18/1+3(1)

=18/1+3

=18/4

=4.5

x=0 y=4.5

Maximum growth rate = (x,y) --> (0, 4.5)

Hope this helps:))!!

f(x)=c/1+Ae^-Bx

Y=C

C=18 A=3 -B=-0.1

*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*

f(0)=18/1+3e^-o.1(0)

= 18/1+3e^0

=18/1+3(1)

=18/1+3

=18/4

=4.5

x=0 y=4.5

Maximum growth rate = (x,y) --> (0, 4.5)

Hope this helps:))!!

User Hyun Woo Cho
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