Math 143 Final Exam Review
Answer Section
1. –9 and 7
2.
3.
4.
5.
6. –5
7. 183
8. −
125 27
,
27 8
9.
10.
11.
12.
13. center:
; radius: 11
14.
15.
16.
17. not a function
18.
19. –6
20.
21. 13, a maximum
22. 194 ft
23. even function
24.
25.
26.
27.
28.
29.
;
30. 3
31.
32. 208
33. Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises
to the right.
34. 0, 9, –4
35. crosses the x-axis at
36.
,
, and
37. two or no positive zeros; four, two, or no negative zeros
38.
39. 1, –3 – 2i, –3 + 2i;
40.
41.
42.
43. C
44.
45.
,
,
46.
47.
48. No
49.
50.
51. Shift the graph of f horizontally 2 units to the left and then shift this graph vertically downward 7
units.
52.
53.
54.
55.
56. 2.748
57.
58. 25
59. 17.33 years
60. vertex: (0, 0)
focus:
61.
62. center: (0, 0)
63.
vertices: (–8, 0), (8, 0)
64.
65. vertices:
66.
67.
68. an ellipse
69.
70.
71.
asymptote:
72.
73.
74.
75. 15 liters of the 30% solution and 10 liters of the 80% solution