1+e-3(z-1) What is its rate of growth when x = 0? (Don't forget what a rate is mathematically.) For which value of x does it have maximum rate of growth? What is the rate for the x-value? Using a graphical calculator or Desmos, graph 1+e-2(z-1) ' 1+e-3(z-1) ' and 1+e-4(z-1) (You do not have to put the graphs on what you submit.) From this, describe in words what affect the value of c in has on the graph. 1+e-dz-6)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.1: Logistic Functions
Problem 20E: Modeling Human Height with a Logistic Function A male child is 21inches long at birth and grows to...
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3. Let f (x)
be the logistic function mentioned in class.
1+e-3(z-1)
a. What is its rate of growth when x = 0? (Don't forget what a rate is mathematically.)
b. For which value of x does it have maximum rate of growth? What is the rate for the x-value?
c. Using a graphical calculator or Desmos, graph
1+e-2(x-1) ' 1+e-3(z-1) '
and
1+e-4(z-1)
. (You do not have to put the
graphs on what you submit.) From this, describe in words what affect the value of c in
а
has on the graph.
1+e-cz-b)
Transcribed Image Text:3. Let f (x) be the logistic function mentioned in class. 1+e-3(z-1) a. What is its rate of growth when x = 0? (Don't forget what a rate is mathematically.) b. For which value of x does it have maximum rate of growth? What is the rate for the x-value? c. Using a graphical calculator or Desmos, graph 1+e-2(x-1) ' 1+e-3(z-1) ' and 1+e-4(z-1) . (You do not have to put the graphs on what you submit.) From this, describe in words what affect the value of c in а has on the graph. 1+e-cz-b)
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