9. Polynomial function; degree: 5; leading term: $2x^5;$ leading coefficient: 2

11. Polynomial function; degree: 3; leading term: ${\displaystyle \frac{2}{3}}{x}^3;$ leading coefficient: ${\displaystyle \frac{2}{3}}$

13. Polynomial function; degree: 4; leading term: $\pi x^4;$ leading coefficient: $\pi$

15. Presence of $|x|$

17. Domain not $(-\infty ,\infty )$

19. Presence of $\sqrt{x}$

21. Domain not $(-\infty ,\infty )$

23. Graph is not continuous.

25. Graph is not continuous.

27. Not a function

29. c

31. a

33. d

35. $f(x)\to \infty ,\text{ as }x\to -\infty ;f(x)\to -\infty ,\text{ as }x\to \infty$

37. $f(x)\to \infty ,\text{ as }x\to -\infty ;f(x)\to \infty ,\text{ as }x\to \infty$

39. $f(x)\to -\infty ,\text{ as }x\to -\infty ;f(x)\to \infty ,\text{ as }x\to \infty$

41. $f(x)\to \infty ,\text{ as }x\to -\infty ;f(x)\to -\infty ,\text{ as }x\to \infty$

43. Zero $x=-2$ multiplicity 1 crosses x-axis; zero $x=1$ multiplicity 1 x-axis; zero $x=3$ multiplicity 1 crosses x-axis;

45. Zero $x=-2$ multiplicity 2 touches but does not cross x-axis; zero $x=1/2$ multiplicity 1 crosses x-axis;

47. Zero $x=-3$ multiplicity 1 crosses x-axis; zero $x=-2/3$ multiplicity 3 crosses x-axis; zero $x=0$ multiplicity 2 touches but does not cross x-axis; zero $x=3$ multiplicity 1 crosses x-axis;

49. Zero $x=2/3$ multiplicity 2 touches but does not cross x-axis

51. 2.09

53. 2.28

55. $(x-1)(x-3)(x+2)$

57. ${(x-2)}^2(x+3)$

59. ${(x-2)}^2{(x+1)}^2$

61. $(x-2)(x-3){(x+2)}^2$

63.

65.

67.

69.

71.

73.

75.

1. 4.14 hp

2. 17.76 hp

3. 33.12 hp

4. ${\displaystyle \frac{p(2v)}{p(v)}}=8$