45. f(x)= (3x)e
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#45 please!
Transcribed Image Text:7. Domain All real x, except-
(-3)-27(-2)-1(0)--1/15-0
Fin) 900 (-x-1) and (-1,
fix) > 0cm(--(x) <0m(-1)
vertical asymptotex--1
horizontal asymptote y
& Domain: All real x, except - 1.
f(0)-21(2)-0
(4) <0 on (-1) and (1.00)
/(x) < 0 mm (-∞,1).
x) > 0on (1,5)
320
vertical asymptotex 1
horizontal asymptote: y--1
9. Domain All real x, except x-2 and 2:
f(-3) -1.7(0)-0, f(3)-1;
f(x) < 0on (-00,-2) and (2,00)
f(x) > 0 on (-2,2):
f(x) <0 on (-00,-2) and (-2,0);
f(x) > 0 on (0, 2) and (2,00);
vertical asymptotes: x=-2 and x-2;
horizontal asymptote: y = 01
10. Domain: All real x, except x-1 and x = 1:
f(-2)-1.f(0) = 0,f(2)=1;
f'(x) > 0on (-∞0-1) and (0, 1);
f(x) < 0on (-1,0) and (1, 0);:
f(x) > 0 on (-00,-1), (-1, 1), and (1, 0);
vertical asymptotes: x=-1 and x-1;
horizontal asymptote: y = 0
In Problems 11-16, find the domain and intercepts
11. f(x)=√x+4
12. f(x)=√x+25
13. f(x) = 75-5x
14. f(x) = 4x + 52
95
15. f(x)=
x-5
102
x+3
16. f(x)=
B
In Problems 17-56, summarize the pertinent information ob-
tained by applying the graphing strategy and sketch the graph of
17. f(x)=3
4-3
18. f(x)=
2x-4
x+2
đi theo hợp đầu
25 f(x)-I(1-x)
27. f(x)-x-Ins
29. f(x) -
31. 703)-1
2x
33. /(x)-1-3
-5x
35. f(x)-(x-1)³
37. f(x)=
39. f(x) = -1
3x² + 2
53. f(x) =
41. f(x)=
43 700)-2
45. f(x)-(3-x)e
47. f(x)=²
49. f(x)= x² In x
51. f(x) = (In x)²
55. f(x)=
-2
x²+2x-8
63. f(x) = x +
22. f(x)-3-7
24. f(x)-10
26 f(x) = (2x+4)
2K f(x)-I(²4
30. /(x) -
32. f(x)-1-2
R
36. f(x) -
(x - 2)²
38. f(x)=
T
40. f(x) -
42. f(x) -
24x
2x² +5
4-8²³²
2
5x-6
46. f(x)=(x-2)
48. f(x) = 2
In x
50. f(x)
52. f(x) =
54. f(x) =
X
In x
1
3-2x-x²
P
56. f(x)-12
C
In Problems 57-64, show that the line y x is an oblique asyn
tote for the graph of y = f(x), summarize all pertinent infor
tion obtained by applying the graphing strategy, and sketch
graph of y=f(x).
57. f(x)=x+
59. f(x)=x--
61. f(x)=x-
9
58. f(x) - x-
60. f(x)=x+
62. f(x)=x+5
64. f(x)=x
32
27
LEVE
16
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