11. Not one-to-one

13. Not one-to-one

15. One-to-one

17. 2

19. $-1$

21. a

23. 337

25.

1. 3

2. 3

3. 19

4. 5

27.

1. 2

2. 1

3. 269

35.

37.

39.

41.

43.

1. One-to-one

2. $f^{-1}(x)=5-{\displaystyle \frac{1}{3}}x$

3. 

4. Domain $f:(-\infty ,\infty )$ x-intercept: 5 y-intercept: 15 Domain $f^{-1}:(-\infty ,\infty )$ x-intercept: 15 y-intercept: 5

45. Not one-to-one

47.

1. One-to-one

2. $f{}^{-1}(x)={(x-3)}^2$

3. 

4. Domain $f:[0,\infty )$ No x-intercept y-intercept: 3 Domain $f^{-1}:[3,\infty )$ x-intercept: 3 No y-intercept

49.

1. One-to-one

2. $g^{-1}(x)=(x^3-1)$

3. 

4. Domain $g:(-\infty ,\infty )$ x-intercept: $-1$ y-intercept: 1 Domain $g^{-1}:(-\infty ,\infty )$ x-intercept: 1 y-intercept: $-1$

51.

1. One-to-one

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

3. 

4. Domain $f:(-\infty ,1)\cup (1,\infty )$ No x-intercept y-intercept: $-1$ Domain $f^{-1}:(-\infty ,0)\cup (0,\infty )$ x-intercept: $-1$ No y-intercept

53.

1. One-to-one

2. $f^{-1}(x)=x^2-4x+3$

3. 

4. Domain $f:[-1,\infty ).$ y-intercept: 3 No x-intercept Domain $f^{-1}:[2,\infty )$ x-intercept is 3. No y-intercept

55. Domain: $(-\infty ,-2)\cup (-2,\infty );$ range: $(-\infty ,\text{ 1})\cup (1,\infty )$

57. $f{}^{-1}(x)={\displaystyle \frac{2x+1}{x-1}}$ Domain: $(-\infty ,2)\cup (2,\infty );$ range: $(-\infty ,1)\cup (1,\infty )$

59. $f^{-1}(x)={\displaystyle \frac{1-x}{x+2}}$ Domain: $(-\infty ,-\text{1})\cup (-1,\infty );$ range: $(-\infty ,-\text{2})\cup (-2,\infty )$

61. $y=\sqrt{-x},x\le 0$

63. $y=x,x\ge 0$

65. $y=-\sqrt{x-1},x\ge 1$

67. $y=-\sqrt{2-x},x\le 2$