Compare the features of the graphs of functions f and g. Then use your observations to describe the relationship between the domains and ranges of the two functions.(Those are the two graphs they are talking about) Exponential and Logarithmic ModelsIn this activity, you will formulate and graph exponential and logarithmic functions and describe the relationship between thetwo functions.Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infectedwith oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest thatwill be infected after t years.f (t) = e0.4tPart A? QuestionGraph the function f (t) = e0.4t+ MARK+ RELATIONSHIP+ DATA64yy = abO Best fita: 1-1010b: 210 ? QuestionGraph the logarithmic function that models the number of years, g(a), for the number of infected trees to reach a valueof x.+ MARK+ RELATIONSHIP -+ DATAtyo y= a log, (z)O Best fita: 1-1010b: 20.510Part ECompare the features of the graphs of functions f and g. Then use your observations to describe the relationship betweenthe domains and ranges of the two functions.BIU X X,15px

The number of trees in the forest that are infected after t years is given by, ft=e0.4t…

Compare the features of the graphs of functions f and g. Then use your observations to describe the relationship between the domains and ranges of the two functions. (Those are the two graphs they are talking about)

Compare the features of the graphs of functions f and g. Then use your observations to describe the relationship between the domains and ranges of the two functions. (Those are the two graphs they are talking about)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 125CR

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Exponential and Logarithmic Models
In this activity, you will formulate and graph exponential and logarithmic functions and describe the relationship between the
two functions.
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected
with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that
will be infected after t years.
f (t) = e0.4t
Part A
? Question
Graph the function f (t) = e0.4t
+ MARK
+ RELATIONSHIP
+ DATA
64y
y = ab
O Best fit
a: 1
-10
10
b: 2
10

? Question
Graph the logarithmic function that models the number of years, g(a), for the number of infected trees to reach a value
of x.
+ MARK
+ RELATIONSHIP -
+ DATA
ty
o y= a log, (z)
O Best fit
a: 1
-10
10
b: 2
0.5
10
Part E
Compare the features of the graphs of functions f and g. Then use your observations to describe the relationship between
the domains and ranges of the two functions.
BIU X X,
15px

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