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anonymous

  • one year ago

For the graphed function f(x) = -(3)x - 1 + 3, calculate the average rate of change from x = 1 to x = 3. (5 points)

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  1. anonymous
    • one year ago
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    http://gyazo.com/75001d397406503a5dbfdc1d95139cb6

  2. anonymous
    • one year ago
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    @dan815

  3. anonymous
    • one year ago
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    @nincompoop

  4. jim_thompson5910
    • one year ago
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    Fill in the blank: The point (1, _____) lies on that function curve.

  5. anonymous
    • one year ago
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    3? lol idk

  6. jim_thompson5910
    • one year ago
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    |dw:1436391895866:dw|

  7. jim_thompson5910
    • one year ago
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    |dw:1436391907246:dw|

  8. jim_thompson5910
    • one year ago
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    draw a vertical line through x = 1 |dw:1436391924628:dw|

  9. jim_thompson5910
    • one year ago
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    where does this vertical line cross the curve? |dw:1436391957168:dw|

  10. anonymous
    • one year ago
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    4? idk

  11. jim_thompson5910
    • one year ago
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    |dw:1436392018915:dw|

  12. jim_thompson5910
    • one year ago
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    how high is that point off the x axis (think of it as the ground)

  13. anonymous
    • one year ago
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    4...

  14. jim_thompson5910
    • one year ago
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    no, 2 actually

  15. anonymous
    • one year ago
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    wouldnt 2 be closer though

  16. jim_thompson5910
    • one year ago
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    |dw:1436392094265:dw|

  17. anonymous
    • one year ago
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    oh

  18. jim_thompson5910
    • one year ago
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    so you see how that point is (1,2) ?

  19. anonymous
    • one year ago
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    ohh wait i see in the screenshot

  20. anonymous
    • one year ago
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    yes

  21. jim_thompson5910
    • one year ago
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    what is the other point?

  22. anonymous
    • one year ago
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    2,0?

  23. jim_thompson5910
    • one year ago
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    (2,0) yes

  24. jim_thompson5910
    • one year ago
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    (1,2) and (2,0) are the two points

  25. jim_thompson5910
    • one year ago
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    use the slope formula \[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\] to find the slope

  26. anonymous
    • one year ago
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    so -2

  27. jim_thompson5910
    • one year ago
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    yes the slope of the line through those two points is -2

  28. anonymous
    • one year ago
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    so that's the answer?

  29. jim_thompson5910
    • one year ago
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    oh wait, it's x = 1 to x = 3 NOT x = 1 to x = 2

  30. jim_thompson5910
    • one year ago
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    there's one other point on the graph that has an x coordinate of 3 what is the y coordinate here?

  31. anonymous
    • one year ago
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    -6

  32. jim_thompson5910
    • one year ago
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    so the two points you'll use are (1,2) and (3,-6)

  33. jim_thompson5910
    • one year ago
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    use the same slope formula

  34. anonymous
    • one year ago
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    so-4

  35. jim_thompson5910
    • one year ago
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    good

  36. anonymous
    • one year ago
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    yay thanks so much can you please help with 1 more?

  37. jim_thompson5910
    • one year ago
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    sure

  38. anonymous
    • one year ago
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    Which logarithmic graph can be used to approximate the value of y in the equation 5y = 12? (5 points) http://gyazo.com/09247132268a7180076b6fd9c7b33364

  39. jim_thompson5910
    • one year ago
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    It says \[\Large 5^y = 12\] right?

  40. anonymous
    • one year ago
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    yes sorry

  41. jim_thompson5910
    • one year ago
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    when you isolate y, what do you get

  42. anonymous
    • one year ago
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    how would i do that? like do i square root 5 i dont know lol

  43. jim_thompson5910
    • one year ago
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    what undoes exponents?

  44. anonymous
    • one year ago
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    square roots?

  45. jim_thompson5910
    • one year ago
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    logs do

  46. anonymous
    • one year ago
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    oh sorry

  47. jim_thompson5910
    • one year ago
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    if we solve for y, we get \[\Large 5^y = 12\] \[\Large y = \log_{5}(12)\] \[\Large y = \frac{\log(12)}{\log(5)}\] \[\Large y \approx 1.543959\]

  48. jim_thompson5910
    • one year ago
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    So find the function where if you plug in x = 12, you'll get roughly y = 1.543959

  49. anonymous
    • one year ago
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    okay

  50. anonymous
    • one year ago
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    wait so if i graphed them would the answer show up as one of theoptions?

  51. jim_thompson5910
    • one year ago
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    look at your options which choice has (12, 1.543959) on it?

  52. jim_thompson5910
    • one year ago
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    obviously B and C are out because the y coordinates of the point with x coordinate 12 is negative

  53. anonymous
    • one year ago
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    d?

  54. jim_thompson5910
    • one year ago
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    why D?

  55. anonymous
    • one year ago
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    because it's 12,1.5

  56. jim_thompson5910
    • one year ago
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    what is the coordinates of that blue point for choice A?

  57. anonymous
    • one year ago
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    12,1

  58. jim_thompson5910
    • one year ago
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    good

  59. jim_thompson5910
    • one year ago
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    so that rules out A

  60. anonymous
    • one year ago
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    yay thanks!!

  61. jim_thompson5910
    • one year ago
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    np

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