○ f(x) ○ g(x) 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) 7 g(x) = e' = ½ same family ☐ 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) e f(x) = €6x g(x) = 6x 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. ○ f(x) f(x) = 5x e 9(x) = 5xk ○ g(x) same family

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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○ f(x)
○ g(x)
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)
7
g(x) = e'
= ½
same family
☐ 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)
e
f(x) = €6x
g(x) = 6x
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.
○ f(x)
f(x) = 5x
e
9(x) = 5xk
○ g(x)
same family
Transcribed Image Text:○ f(x) ○ g(x) 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) 7 g(x) = e' = ½ same family ☐ 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) e f(x) = €6x g(x) = 6x 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. ○ f(x) f(x) = 5x e 9(x) = 5xk ○ g(x) same family
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