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Fanduekisses

  • one year ago

Did I do this right? Calculating Average rate of Change of a function over an interval??

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  1. Fanduekisses
    • one year ago
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    \[f(x)=\sqrt{x}+x\]

  2. Fanduekisses
    • one year ago
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    over the interval [1,4]

  3. Fanduekisses
    • one year ago
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    I got 2 ??

  4. Vocaloid
    • one year ago
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    not quite f(4)-f(1) = ?

  5. Fanduekisses
    • one year ago
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    4

  6. Vocaloid
    • one year ago
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    good, now divide that by (4-1)

  7. Fanduekisses
    • one year ago
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    4/3

  8. Vocaloid
    • one year ago
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    yup, there's your answer

  9. Fanduekisses
    • one year ago
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    Ok, but I guess it's not perfect or exact lol because f(2)-f(1) does not equal exactly 4/3?

  10. Vocaloid
    • one year ago
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    f(2)-f(1) doesn't give you the average rate of change

  11. Vocaloid
    • one year ago
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    "average rate of change" essentially means to calculate the slope between x = 1 and x = 4

  12. Vocaloid
    • one year ago
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    your function is not linear, so f(2)-f(1) does not equal f(4)-f(1)

  13. Fanduekisses
    • one year ago
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    Oh I see why I was thinking that lol, it's not linear LOL

  14. Fanduekisses
    • one year ago
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    Like if it were, y's will be increasing by 4/3. xD

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