9. No, the base is not a constant.

11. Yes, the base is ${\displaystyle \frac{1}{2}}$.

13. No, the base is not a constant.

15. No, the base is not a positive ­constant.

17. ${\displaystyle \frac{1}{5}}$

19. 0.0892, 11.2116

21. ${\displaystyle \frac{4}{9}},{\displaystyle \frac{729}{64}}$

23. $3^{2\sqrt{2}}$

25. $2^{\pi }$

27. $3^{\sqrt{6}}$

29. $a^6$

31.

1. $4^x$

2. $3^x$

33.

1. ${\displaystyle \frac{1}{5}}\cdot 5^x$

2. $5\cdot {\left({\displaystyle \frac{1}{5}}\right)}^x$

35.

37.

39.

41.

43. c

45. a

47. Domain: $(-\infty ,\infty );$ range: $(1,\infty );$ horizontal ­asymptote: $y=1$

49. Domain: $(-\infty ,\infty );$ range: $(0,\infty );$ horizontal asymptote: $y=0$

51. Domain: $(-\infty ,\infty );$ range: $(0,\infty );$ horizontal asymptote: $y=0$

53. Domain: $(-\infty ,\infty );$ range: $(3,\infty );$ horizontal asymptote: $y=3$

55. Domain: $(-\infty ,\infty );$ range: $(-\infty ,1);$ horizontal asymptote: $y=1$

57. Domain: $(-\infty ,\infty );$ range: $(-1,\infty );$ horizontal asymptote: $y=-1$

59. Domain: $(-\infty ,\infty );$ range: $(-\infty ,4);$ horizontal asymptote: $y=4$

61. $f(x)={(1.5)}^x+2;f(2)=4.25$

63. $f(x)={\left({\displaystyle \frac{1}{3}}\right)}^x-2;f(2)=-{\displaystyle \frac{17}{9}}$

65. $y=2^{x+2}+5$

67. $y=2{\left({\displaystyle \frac{1}{2}}\right)}^x-5$

69. Reflection about x-axis and vertical shift up by 2

71. $2500

73. $5764.69

75.

1. $7936.21

2. $4436.21

77.

1. $12,365.41

2. $4865.41

79. $4631.93

81. $4493.68

83. $f(x)=e^{-x};y=0$

85. $f(x)=e^{x-2};y=0$

87. $f(x)=1+e^x;y=1$

89. $f(x)=-e^{x-2}+3;y=3$