9. Increasing on $(-\infty ,\infty )$

11. Increasing on $(\infty ,2)$, decreasing on $(2,\infty )$

13. Increasing on $(-\infty ,-2)$ and $(2,\infty ),$ constant on $(-2\text{,}2)$

15. Increasing on $(-\infty ,-3)$ and $\left(-{\displaystyle \frac{1}{2}},2\right),$ decreasing on $\left(-3,-{\displaystyle \frac{1}{2}}\right)$ and $(2,\infty )$

17. No relative extrema

19. (2, 10) is a relative maximum point and a turning point.

21. Any point (x, 2) is a relative maximum and a relative minimum point on the interval $(-2,2);$ none of these points are turning points.

23. $(-3,4)$ and (2, 5) are relative maximum points and turning points; $\left(-{\displaystyle \frac{1}{2}},-2\right)$ is a relative minimum and a turningpoint.

25. Odd

27. Neither

29. Odd

31. Even

33. Neither

35. Even

37. Odd

39. Neither

41. Even

43. Odd

45. Even

47. Neither

49.

1. Domain: $(-\infty ,\infty );$ range: $(-\infty ,3]$

2. x-intercepts: $-3,3;$ y-intercept: 3

3. Increasing on $(-\infty ,0);$ decreasing on $(0,\infty )$

4. Relative maximum at (0, 3)

5. Even

51.

1. Domain: $(-3,4);$ range: $[-2,2]$

2. x-intercept: 1; y-intercept: $-1$

3. Constant on $(-3,-1)$ and (3, 4); increasing on $(-1,3)$

4. Any point $(x,-2)$ is a relative maximum and a relative minimum on $(-3,-1),$ and $(-1,-2)$ is a relative minimum. Any point (x, 2) is a relative ­maximum and a relative minimum on (3, 4) and (3, 2) is a relative­maximum.

5. Neither

53.

1. Domain: $(-2,4);$ range: $[-2,3]$

2. x- and y-intercept: 0

3. Decreasing on $(-2,-1)$ and (3, 4); increasing on $(-1,3)$

4. Relative maximum at (3, 3); relative ­minimum at $(-1,-2)$

5. Neither

55.

1. Domain: $(-\infty ,\infty );$ range: $(0,\infty )$

2. x-intercepts: none; y-­intercept: 1

3. Increasing on $(-\infty ,\infty )$

4. None

5. Neither

57. $-2$

59. 3

61. $-2$

63. $-2$

65. 7

67. $-{\displaystyle \frac{1}{12}}$

69. 1

71. $-2$

73. m

75. $2x+h$

77. $4x+2h+3$

79. 0

81. $-{\displaystyle \frac{1}{x(x+h)}}$

83.

1. Increasing: (2006,2009), (2011, 2012), (2013, 2014); decreasing: (2009, 2011), (2012, 2013)

2. Relative maximum of 251.1 in 2009, relative maximum of 293.2 in 2012, relative minimum of 21.5 in 2011, relative minimum of 187.0 in 2013