Solve each inequality, and graph the solution set. See Example 2.( Hint: In Exercises 21 and
22, use the quadratic formula.)
Solve each inequality. See Example 3.
Solve each inequality, and graph the solution set. See Example 4.
Solve each inequality, and graph the solution set. See Examples 5 and 6.
34. 35. 36.
37. 38. 39.
40. 41. 42.
43. 44. 45.
46. 47. 48.
Give the domain and the range of each function. See Section 3.5.
Decide whether each graph is that of a function. See Section 3.5.
51 0, 1 2 , 1 1, 2 2 , 1 2, 4 2 , 1 3, 8 26 ƒ 1 x 2 =x^2
PREVIEW EXERCISES
15 x- 322
2 x+ 1
... 0
13 x- 522
x+ 2
70
9 x- 8
4 x^2 + 25
60
2 x- 3
x^2 + 1
Ú 0
r
r+ 2
62 r
4 k
2 k- 1
6 k
2 t- 3
t+ 1
74
x- 8
x- 4
63
m+ 4
m+ 5
Ú 2
x- 3
x+ 2
Ú 2
6
x- 1
61
3
2 x- 1
62
20
x- 1
Ú 1
8
x- 2
Ú 2
3 x+ 7
x- 3
... 0
2 x+ 3
x- 5
... 0
x+ 1
x- 5
70
x- 1
x- 4
70
1 x- 4212 x+ 3213 x- 12 Ú 0 1 x+ 2214 x- 3212 x+ 72 Ú 0
1 x- 121 x- 221 x- 4260 12 x+ 1213 x- 2214 x+ 7260
13 x+ 522 ...- 4 18 x+ 522 ...- 5
14 - 3 x 22 Ú- 2 17 - 6 x 22 Ú- 1
x^2 - 6 x+ 6 Ú 0 3 x^2 - 6 x+ 2 ... 0
3 x^2 - 5 x... 0 2 z^2 + 3 z 70
z^2 - 4 zÚ 0 x^2 + 2 x 60
6 x^2 +xÚ 1 4 x^2 + 7 xÚ- 3
4 x^2 - 9 ... 0 9 x^2 - 25 ... 0
10 x^2 + 9 xÚ 9 3 x^2 + 10 xÚ 8
x^2 - 4 x+ 3 Ú 0 x^2 - 3 x- 10 Ú 0
1 x+ 421 x- 6260 1 x+ 421 x- 8260
1 x+ 121 x- 5270 1 x+ 621 x- 2270
558 CHAPTER 9 Quadratic Equations, Inequalities, and Functions
x
y
0
x
y
0
