9. $(-\infty ,-4)\cup (-4,\infty )$

11. $(-\infty ,\infty )$

13. $(-\infty ,-2)\cup (-2,3)\cup (3,\infty )$

15. $(-\infty ,2)\cup (2,4)\cup (4,\infty )$

17. $\infty$

19. $\infty$

21. 1

23. $(-\infty ,-2)\cup (-2,1)\cup (1,\infty )$

25. $x=-2;x=1$

27. Domain: $(-\infty ,4)\cup (4,\infty )$ Range: $(-\infty ,0)\cup (0,\infty )$

Vertical Asymptote: $x=4$

Horizontal Asymptote: $y=0$

29. Domain:

$\left(-\infty ,-{\displaystyle \frac{1}{3}}\right)\cup \left(-{\displaystyle \frac{1}{3}},\infty \right)$

Range: $\left(-\infty ,-{\displaystyle \frac{1}{3}}\right)\cup \left(-{\displaystyle \frac{1}{3}},\infty \right)$

Vertical Asymptote: $x=-{\displaystyle \frac{1}{3}}$

Horizontal Asymptote: $y=-{\displaystyle \frac{1}{3}}$

31. Domain: $(-\infty ,-2)\cup (-2,\infty )$ Range: $(-\infty ,-3)\cup (-3,\infty )$

Vertical Asymptote: $x=-2$

Horizontal Asymptote: $y=-3$

33. Domain: $(-\infty ,4)\cup (4,\infty )$ Range: $(-\infty ,5)\cup (5,\infty )$

Vertical Asymptote: $x=4$

Horizontal Asymptote: $y=5$

35. $x=1$

37. $x=-4$ and $x=3$

39. $x=-3$ and $x=2$

41. $x=-3$

43. No vertical asymptote

45. $y=0$

47. $y={\displaystyle \frac{2}{3}}$

49. No horizontal asymptote

51. $y=0$

53. d

55. e

57. a

59. x-intercept: 0; y-intercept: 0; vertical asymptote: $x=3;$ horizontal asymptote: $y=2;$ symmetry: none. The graph is above the line $y=2$ on $(3,\infty )$ and below it on $(-\infty ,3)$.

61. x-intercept: 0; y-intercept: 0; vertical asymptotes: $x=-2$ and $x=2;$ horizontal asymptote: x-axis. The graph is symmetric with respect to origin. The graph is above the x-axis on $(-2,0)\cup (2,\infty )$ and below the x-axis on $(-\infty ,-2)\cup (0,2).$

63. x-intercept: 0; y-intercept: 0; vertical asymptotes: $x=-3$ and $x=3;$ horizontal asymptote: $y=-2.$ The graph is above the line $y=-2$ on $(-3,3)$ and below it on $(-\infty ,-3)\cup (3,\infty ).$

65. No x-intercept; y-intercept: $-1;$ vertical asymptotes: $x=-\sqrt{2}$ and $x=\sqrt{2};$ horizontal asymptote: x-axis. The graph is above the x-axis on $(-\infty ,-\sqrt{2})\cup (\sqrt{2},\infty )$ and below the x-axis on $(-\sqrt{2},\sqrt{2}).$

67. x-intercept: $-1;$ y-intercept: $-{\displaystyle \frac{1}{6}};$ vertical asymptotes: $x=-3$ and $x=2;$ horizontal asymptote: x-axis. The graph is above the x-axis on $(-3,-1)\cup (2,\infty )$ and below the x-axis on $(-\infty ,-3)\cup (-1,2).$

69. x-intercept: 0; y-intercept: 0; no vertical asymptote; horizontal asymptote: $y=1.$ The graph is above the x-axis on $(-\infty ,0)\cup (0,\infty )$ and below the line $y=1$ on $(-\infty ,\infty )$.

71. x-intercept: $\pm 2;$ no y-intercept: a hole at $\left(0,{\displaystyle \frac{4}{9}}\right);$ vertical asymptotes: $x=-3$ and $x=3;$ horizontal asymptote: $y=1.$ The graph is above the line $y=1$ on $(-\infty ,-3)\cup (3,\infty )$ and below it on $(-3,0)\cup (0,3).$

73. No x-intercept; y-intercept: $-2;$ a hole at $(2,0)$; no vertical asymptote; no horizontal asymptote. The graph is above the x-axis on $(2,\infty )$ and below the x-axis on $(-\infty ,2).$

75. $f(x)={\displaystyle \frac{-2(x-1)}{x-2}}$

77. $f(x)={\displaystyle \frac{(x-1)(x-3)}{x(x-2)}}$

79. Oblique asymptote: $y=2x$

81. Oblique asymptote: $y=x$

83. Oblique asymptote: $y=x-2$

85. Oblique asymptote: $y=x-2$