Exercises 13.1, page 375

  1. 1.  − 14

  2. 3. 11.7

  3. 5. 0.00677

  4. 7.

    1. Yes

    2. Yes

  5. 9.

    1. No (base cannot be negative)

    2. Yes

  6. 11. 2

  7. 13. 116

  8. 15. 18

  9. 17.  

    The graph of a curve rising from the x-axis and through (0, 1) and (3, 64).

  10. 19.

    The graph of a curve falling through (negative 1, 3) and (0, 0.2), approaching the x-axis.

  11. 21.

    The graph of a curve that rises from the x-axis and through (0, 0.5) and (3, 16).

  12. 23.

    The calculator graph of a curve that rises from the x-axis and through (0, 0.2) and (3, 6). All data are approximate.

  13. 25.

    The calculator graph of a curve that falls through (0, 0.1), approaching the x-axis.

  14. 27.

    The calculator graph of a curve that falls through (0, 3.1), approaching y = 2. All data are approximate.

  15. 29.

    The calculator graph of 3 curves that all rise from the x-axis and through (0, 1). Curve ay rises more rapidly than curve b, which rises more rapidly than curve c.

  16. 31. 4

  17. 33. f(c + d) = bc + d = bcbd = f(c) ⋅ f(d)

  18. 35.

    A parabola opens upward with a vertex at (0, 1).

  19. 37.  − 0.7667 ,  2, 4

  20. 39. ek − 1

  21. 41. $303.88

  22. 43. 0.0012 mA

  23. 45.

    The calculator graph of a curve that falls from (0, 100) with decreasing steepness toward (0, 0.5).
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