Exercises 3.4, page 100

1.
3.
5.
7.
9.
11.
13.
15.
17.
19.
21.
23.
25.
27.
29.
31.
33.
35.
37. The domain is all real numbers, the range is all values $y \geq - 3.$ $y \geq - 3.$
39. The domain is all values $x \geq 2,$ $x \geq 2,$ the range is all values $y \geq 0.$ $y \geq 0.$
41.
43.
45.
47.
49.
51.
53.
55. $\begin{array}{l} A = 100 w - w^{2} \\ 30 m \leq w \leq 70 m \end{array}$ $\begin{array}{l} A = 100 w - w^{2} \\ 30 m \leq w \leq 70 m \end{array}$
57.
59. Only integer values of n have meaning.
61. No. $f (1) = 2,$ $f (1) = 2,$ but f(2) is not determined.
63.
65.

$\begin{matrix} y & = & x is the \\ same as \\ y & = & | x | for \\ x & \geq & 0 \\ y & = & | x | is the \\ same as \\ y & = & - x \\ for x < 0. \end{matrix}$ $\begin{matrix} y & = & x is the \\ same as \\ y & = & | x | for \\ x & \geq & 0 \\ y & = & | x | is the \\ same as \\ y & = & - x \\ for x < 0. \end{matrix}$
67.
69. They are the same except $x = 2$ $x = 2$ is not in the domain of (b).
71. Yes
73. No