1. false

3. true

5. false

7. true

9.

1. $2\sqrt{5}$

2. (1, 4)

3. ${\displaystyle \frac{1}{2}}$

11.

1. $5\sqrt{2}$

2. $\left({\displaystyle \frac{13}{2}},-{\displaystyle \frac{11}{2}}\right)$

3. $-1$

13.

1. $\sqrt{34}$

2. $\left({\displaystyle \frac{7}{2}},-{\displaystyle \frac{9}{2}}\right)$

3. ${\displaystyle \frac{5}{3}}$

15. ${\text{AC}}^2+{\text{BC}}^2={\text{AB}}^2(34+34=68)$

17. (4, 5)

19. $\left({\displaystyle \frac{31}{18}},0\right)$

21. Not symmetric with respect to the x-axis, symmetric with respect to the y-axis, not symmetric with respect to the origin

23. Symmetric with respect to the x-axis, not symmetric with respect to the y-axis, not symmetric with respect to the origin

25.

x-intercept: 4; y-intercept: 2; not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, not symmetric with respect to the origin

27.

x-intercept: 0; y-intercept: 0; not symmetric with respect to the ­x-axis, symmetric with respect to the y-axis, not symmetric with respect to the origin

29.

x-intercept: 0; y-intercept: 0; not symmetric with respect to the ­x-axis, not symmetric with respect to the y-axis, symmetric with respect to the origin

31.

No x-intercept; y-intercept: 2; not symmetric with respect to the ­x-axis, symmetric with respect to the y-axis, not symmetric with respect to the origin

33.

x-intercepts: $-4$ and 4; y-intercepts: $-4$ and 4; symmetric with respect to the x-axis, symmetric with respect to the y-axis, symmetric with respect to the origin

35. ${(x-2)}^2+{(y+3)}^2=25$

37. ${(x+2)}^2+{(y+5)}^2=4$

39. ${\displaystyle \frac{x}{2}}-{\displaystyle \frac{y}{5}}=1\Rightarrow y={\displaystyle \frac{5}{2}}x-5;$ line with slope ${\displaystyle \frac{5}{2}};$ x-intercept 2 and y-intercept $-5$

41. $x^2+y^2-2x+4y-4=0\Rightarrow {(x-1)}^2+{(y+2)}^2=9;$ circle centered at $(1,-2)$ and with radius 3

43. $y=-2x+4$

45. $y=-2x+5$

47.

1. Parallel

2. Neither

3. Perpendicular

4. Neither

49.

Domain: $\{-1,0,1,2\};$ range: $\{-1,0,1,2\};$ function

51.

Domain: $(-\infty ,\infty );$ range: $(-\infty ,\infty );$ function

53.

Domain: $[-0.2,0.2];$ range: $[-0.2,0.2];$ not a function

55.

Domain: $\left\{1\right\};$ range: $(-\infty ,\infty );$ not a function

57.

Domain: $(-\infty ,\infty );$ range: $[0,\infty );$ function

59. $-5$

61. $x=1$

63. 3

65. $-10$

67. 22

69. $3x^2-5$

71. $9x+4$

73. $3a+3h+1$

75. 3

77.

Domain: $(-\infty ,\infty );$ range: $\{-3\};$ constant on $(-\infty ,\infty )$

79.

Domain: $\left[{\displaystyle \frac{2}{3}},\infty \right);$ range: $[0,\infty );$ increasing on $\left({\displaystyle \frac{2}{3}},\infty \right)$

81.

Domain: $(-\infty ,\infty );$ range: $[1,\infty );$ decreasing on $(-\infty ,0),$ increasing on $(0,\infty )$

83. The graph of g is the graph of f shifted 1 unit to the left.

85. The graph of g is the graph of f shifted 2 units to the right and reflected in the x-axis.

87. Even; not symmetric with respect to the x-axis, symmetric with respect to the y-axis, not symmetric with respect to the origin

89. Even; not symmetric with respect to the x-axis, symmetric with respect to the y-axis, not symmetric with respect to the origin

91. Neither even nor odd; not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, not symmetric with respect to the origin

93. $f(x)=(g\circ h)(x),$ where $g(x)=\sqrt{x}$ and $h(x)=x^2-4$

95. $h(x)=(f\circ g)(x),$ where $f(x)=\sqrt{x}$ and $g(x)={\displaystyle \frac{x-3}{2x+5}}$

97. One-to-one; $f^{-1}(x)=x-2$

99. One-to-one; $f^{-1}(x)=x^3+2$

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

103.

1. $f(x)=\{\begin{array}{l}3x+6,\text{if}-3\le x\le -2\\ {\displaystyle \frac{1}{2}}x+1,\text{if}-2<x<0\\ x+1,\text{if}0\le x\le 3\end{array}$

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

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

4. 

5. 

6. 

7. 

8. 

9. 

10. 

11. It satisfies the horizontal-line test.

12.