(a) By drawing the graphs of the functions (x) = 1 + In(1 + x) and g(x) = V in a suitable viewing rectangle, show that even when a logarithmic function starts out higher than a root function, it is ultimately overtaken by the root function. 3 2 2 10 20 30 40 50 10 20 30 40 50 1 wwwww X 10 15 20 25 30 35 10 15 20 25 30 35

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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A graphing calculator is recommended.
(a) By drawing the graphs of the functions
(x) = 1 + In(1 + x) and g(x) = V
in a suitable viewing rectangle, show that even when a logarithmic function starts out higher than a root function, it is ultimately overtaken by the root function.
y
6
4
3
2
2
1
x
50
10
20
30
40
50
10
20
30
40
y
y
아
6
3
2
wwww x
10
30
35
5
10
15
20
25
30
35
(b) Find, correct to two decimal places, the solutions of the equation Vx = 1 + In(1 + x). (Enter your answers as a comma-separated list.)
Transcribed Image Text:A graphing calculator is recommended. (a) By drawing the graphs of the functions (x) = 1 + In(1 + x) and g(x) = V in a suitable viewing rectangle, show that even when a logarithmic function starts out higher than a root function, it is ultimately overtaken by the root function. y 6 4 3 2 2 1 x 50 10 20 30 40 50 10 20 30 40 y y 아 6 3 2 wwww x 10 30 35 5 10 15 20 25 30 35 (b) Find, correct to two decimal places, the solutions of the equation Vx = 1 + In(1 + x). (Enter your answers as a comma-separated list.)
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