Exercises 3.2, page 92

1. $- x^{2} + 2$ is never greater than 2. The range is all real numbers $f (x) \leq 2.$
3. 4 mA, 0 mA
5. Domain: all real numbers; range: all real numbers
7. Domain: all real numbers except 0; range: all real numbers except 0
9. Domain: all real numbers $s \geq 2,$ range: all real numbers $f (s) \geq 0$
11. Domain all real numbers $h \geq 0;$ range: all real numbers $H (h) \geq 1; \sqrt{h}$ cannot be negative
13. Domain: all real numbers; range: all real numbers $y \geq 0$
15. All real numbers $y > 2$
17. All real numbers $D \geq 0, D \neq 2$
19. $y = \frac{x + 3}{x};$ domain all x except 0
21. 2, 2, not defined
23. 2, 0.75
25. $d = 110 + 40 t$
27. $w = 5500 - 2 t$
29. $m = 0.5 h - 390$
31. $C = 5 l + 250$
33.
1. $y = 3000 - 0.25 x$
2. 2900 L
35. $y = - \frac{1}{2} x + 95$
37. $A = \frac{1}{16} p^{2} + \frac{{(60 - p)}^{2}}{4}$

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Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans