PRECALCULUS, ENHANCED WITH GRAPHING UTILITIES
9TH EDITION
CHAPTER NO. 01: GRAPHS
Section 1.1 (f) x-axis
1. 0
2.
3. x-coordinate; y-coordinate; quadrants
4. False; points that lie in Quadrant IV will have a
positive x-coordinate and a negative y-coordinate.
9. The points will be on a vertical line that is two
The point 1, 4 lies in Quadrant II.
units to the right of the y-axis.
5. d
6. c
7. (a) Quadrant II
(b) x-axis
(c) Quadrant III
(d) Quadrant I
(e) y-axis
(f) Quadrant IV
10. The points will be on a horizontal line that is
three units above the x-axis.
8. (a) Quadrant I
(b) Quadrant III
(c) Quadrant II
(d) Quadrant I
(e) y-axis
11. 1, 4 ; Quadrant II
12. (3, 4); Quadrant I
13. (3, 1); Quadrant I
,14. 6, 4 ; Quadrant III 21. X min 6
X max 6
15. X min 11 X scl 2
X max 5 Y min 4
X scl 1 Y max 4
Y min 3 Y scl 2
Y max 6
Y scl 1 22. X min 3
X max 3
16. X min 3 X scl 1
X max 7 Y min 2
X scl 1 Y max 2
Y min 4 Y scl 1
Y max 9
Y scl 1 23. X min 6
X max 6
17. X min 30 X scl 2
X max 50 Y min 1
X scl 10 Y max 3
Y min 90
Y scl 1
Y max 50
Y scl 10 24. X min 9
X max 9
18. X min 90
X scl 3
X max 30
Y min 12
X scl 10
Y max 4
Y min 50
Y scl 4
Y max 70
Y scl 10 25. X min 3
X max 9
19. X min 10
X scl 1
X max 110
Y min 2
X scl 10
Y max 10
Y min 10
Y scl 2
Y max 160
Y scl 10 26. X min 22
X max 10
20. X min 20
X scl 2
X max 110
Y min 4
X scl 10
Y max 8
Y min 10
Y scl 1
Y max 60
Y scl 10
,27. y x 4 x 39. (–4,0), (–1,0), (4, 0), (0, –3)
0 04 0 1 14 1 0 (1) 4 1 40. (–2, 0), (2, 0), (0, 3)
00 1 0 0 1 1
41. y x 2
(0, 0) is on the graph of the equation.
28. y x3 2 x
0 03 2 0 1 13 2 1 1 13 2 1
00 1 1 1 1
(0, 0) and (1, –1) are on the graph of the
equation.
29. y 2 x 2 9
32 02 9 02 32 9 02 (3)2 9
99 0 18 0 18
(0, 3) is on the graph of the equation.
42. y x 6
30. y3 x 1
23 1 1 13 0 1 0 3 1 1
82 11 00
(0, 1) and (–1, 0) are on the graph of the
equation.
31. x 2 y 2 4
2 2
02 22 4 ( 2)2 22 4 2 2 4
44 84 44
(0, 2) and
2, 2 are on the graph of the
equation.
32. x2 4 y 2 4 43. y 2 x 8
02 4 12 4 22 4 02 4 22 4 4
1 2
2
44 44 54
(0, 1) and (2, 0) are on the graph of the equation.
33. (–1, 0), (1, 0)
34. (0, 1)
35. , 0 , , 0 , (0, 1)
2 2
36. (–2, 0), (2, 0), (0, –3)
37. 1, 0 , 0, 2 , 0, 2
38. (2, 0), (0, 2), (–2, 0), (0, –2)
, 44. y 3x 9 48. y x2 1
49. 2 x 3 y 6
2
45. y x 1
50. 5 x 2 y 10
46. y x 2 9
47. y x 2 4
51. 9 x2 4 y 36