Exercises 3.2, page 92

  1. 1.  − x2 + 2 is never greater than 2. The range is all real numbers f(x) ≤ 2.

  2. 3. 4 mA, 0 mA

  3. 5. Domain: all real numbers; range: all real numbers

  4. 7. Domain: all real numbers except 0; range: all real numbers except 0

  5. 9. Domain: all real numbers s ≥ 2 ,  range: all real numbers f(s) ≥ 0

  6. 11. Domain all real numbers h ≥ 0 ;  range: all real numbers H(h) ≥ 1 ;  h cannot be negative

  7. 13. Domain: all real numbers; range: all real numbers y ≥ 0

  8. 15. All real numbers y > 2

  9. 17. All real numbers D ≥ 0 ,  D ≠ 2

  10. 19. y = x + 3x ;  domain all x except 0

  11. 21. 2, 2, not defined

  12. 23. 2, 0.75

  13. 25. d = 110 + 40t

  14. 27. w = 5500 − 2t

  15. 29. m = 0.5h − 390

  16. 31. C = 5l + 250

  17. 33.

    1. y = 3000 − 0.25x

    2. 2900 L

  18. 35. y =  − 12 x + 95

  19. 37. A = 116p2 + (60 − p)24

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