☐ ☐ 2. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. ○ f(x) ○ g(x) 4x f(x) = e¹x 9(x) = 4xk ○ same family ☐ ☐ 3. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. 1 f(x) = g(x) = √ ○ f(x) g(x) ○ same family ☐ ○ f(x) 4. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. f(x) = ln(5x) g(x) = (5x)* ○ g(x) ○ same family ☐ ☐ 1. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. ○ f(x) ○ g(x) f(x) = ln(1 In (1-2) g(x) = ○ same family 28

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
Question
☐ ☐ 2. Compare the relative rates of growth of the following pair of functions and give the
dominant function or declare the functions part of the same family.
○ f(x)
○ g(x)
4x
f(x) = e¹x
9(x) = 4xk
○ same family
☐
☐ 3. Compare the relative rates of growth of the following pair of functions and give the
dominant function or declare the functions part of the same family.
1
f(x) =
g(x) =
√
○ f(x)
g(x)
○ same family
☐
○ f(x)
4. Compare the relative rates of growth of the following pair of functions and give the
dominant function or declare the functions part of the same family.
f(x) = ln(5x)
g(x) = (5x)*
○ g(x)
○ same family
Transcribed Image Text:☐ ☐ 2. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. ○ f(x) ○ g(x) 4x f(x) = e¹x 9(x) = 4xk ○ same family ☐ ☐ 3. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. 1 f(x) = g(x) = √ ○ f(x) g(x) ○ same family ☐ ○ f(x) 4. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. f(x) = ln(5x) g(x) = (5x)* ○ g(x) ○ same family
☐ ☐ 1. Compare the relative rates of growth of the following pair of functions and give the
dominant function or declare the functions part of the same family.
○ f(x)
○ g(x)
f(x) = ln(1
In (1-2)
g(x) =
○ same family
28
Transcribed Image Text:☐ ☐ 1. Compare the relative rates of growth of the following pair of functions and give the dominant function or declare the functions part of the same family. ○ f(x) ○ g(x) f(x) = ln(1 In (1-2) g(x) = ○ same family 28
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