A graphing calculator is recommended. (a) Graph the functions f(x) = 1.0 Viewing window [0, 10] by [0, 1]: y 0.8 0.6 0.4 0.2 O y 1.0 0.8 0.6 0.4 2 0.8 x1.1 4 f(x) g(x) and g(x) = f(x) g(x) 6 0.8 in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by [0, 1]. *0.9 8 10 y 1.0 0.8 0.6 0.4 0.2 2 4 f(x) g(x) 6 8 MacBook Air 10 X 1.0 0.8 0.6 0.4 y 0.2 2 4 f(x) g(x) 6 Admissions Transf... 8 10 B X G

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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A graphing calculator is recommended.
(a) Graph the functions f(x):
=
0.8
x1.1
Viewing window [0, 10] by [0, 1]:
y
1.0
0.8
0.6
0.4
0.2
O
F1
y
1.0
0.8
0.6
0.4
2
F2
f(x)
g(x)
and g(x) =
f(x)
g(x)
6
80
F3
8
0.8
in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by [0, 1].
+0.9
10
000
000
F4
y
1.0
0.8
0.6
0.4
0.2
F5
2
4
f(x)
g(x)
F6
6
MacBook Air
8
F7
10
X
DII
F8
1.0
0.8
0.6
0.4
y
0.2
2
DD
F9
4
f(x)
g(x)
J
6
F10
Admissions Transf...
8
4)
F11
10
X
F
Transcribed Image Text:esc A graphing calculator is recommended. (a) Graph the functions f(x): = 0.8 x1.1 Viewing window [0, 10] by [0, 1]: y 1.0 0.8 0.6 0.4 0.2 O F1 y 1.0 0.8 0.6 0.4 2 F2 f(x) g(x) and g(x) = f(x) g(x) 6 80 F3 8 0.8 in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by [0, 1]. +0.9 10 000 000 F4 y 1.0 0.8 0.6 0.4 0.2 F5 2 4 f(x) g(x) F6 6 MacBook Air 8 F7 10 X DII F8 1.0 0.8 0.6 0.4 y 0.2 2 DD F9 4 f(x) g(x) J 6 F10 Admissions Transf... 8 4) F11 10 X F
(b) Find the areas under the graphs of f and g from x = 1 to x = t and evaluate for t= 10, 100, 104, 106, 1010, and 1020. (Round your answers to two decimal places.)
8(1-1-0.1)
area under the graph of g 8(0.1-1)
area under the graph of f
t
10
100
104
106
1010
1020
1.64
2.95
4.81
5.99
7.2
7.92
F(t)
X
✓ 4.68
x
✓
✓
2.07
✓
12.09
23.85
72
792
G(t)
total area under the graph of g
✔
8
x
✓
(c) Find the total area under each curve for x ≥ 1, if it is exists. (Round your answers to one decimal place.)
total area under the graph of f
8
✓
Transcribed Image Text:(b) Find the areas under the graphs of f and g from x = 1 to x = t and evaluate for t= 10, 100, 104, 106, 1010, and 1020. (Round your answers to two decimal places.) 8(1-1-0.1) area under the graph of g 8(0.1-1) area under the graph of f t 10 100 104 106 1010 1020 1.64 2.95 4.81 5.99 7.2 7.92 F(t) X ✓ 4.68 x ✓ ✓ 2.07 ✓ 12.09 23.85 72 792 G(t) total area under the graph of g ✔ 8 x ✓ (c) Find the total area under each curve for x ≥ 1, if it is exists. (Round your answers to one decimal place.) total area under the graph of f 8 ✓
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