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anonymous

  • one year ago

4 questions help please

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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    @ganeshie8

  4. Hero
    • one year ago
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    @dom4958, what are your thoughts regarding this problem? Are you familiar with the rate of change formula?

  5. anonymous
    • one year ago
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    not too much @Hero

  6. Hero
    • one year ago
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    The average rate of change of a function \(f(x)\) over an interval between two points \((a, f(a))\) and \((b, f(b))\) is the slope of the secant line connecting the two points: \(\dfrac{f(b) - f(a)}{b - a}\) In this case, \(a = 3\) and \(b = 9\). What you want to do is find \(f(3)\) and \(f(9)\), then plug all the values in to the formula and simplify the expression which will give the average rate of change for this problem.

  7. anonymous
    • one year ago
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    f(6) over 6?

  8. anonymous
    • one year ago
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    2 over 2 @Hero ?

  9. anonymous
    • one year ago
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    @ganeshie8 @Hero

  10. Hero
    • one year ago
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    Just a sec

  11. anonymous
    • one year ago
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    alright

  12. Hero
    • one year ago
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    |dw:1438671186805:dw|

  13. Hero
    • one year ago
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    If you notice the values along the \(y\) axis represent \(f(x)\) values because for functions \(y = f(x)\). In this case, \(f(3) \approx 47.25\) and \(f(9) \approx 27\).

  14. Hero
    • one year ago
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    \(f(3) \approx 41.25\)

  15. anonymous
    • one year ago
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    @Hero what would i do with the f(3)≈41.25?

  16. Hero
    • one year ago
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    Start with the formula for average rate of change: \(\dfrac{f(b) - f(a)}{b - a}\). We already acknowledged that \(a = 3\) and \(b = 9\)so plug in those values in place of \(a\) and \(b\): \(\dfrac{f(9) - f(3)}{9 - 3}\). Next plug in the appropriate values for \(f(3)\) and \(f(9)\), then simplify.

  17. anonymous
    • one year ago
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    -24.75 - 45.25 = 70 over 70. 7 over 7?

  18. Hero
    • one year ago
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    Make sure you have the numbers written correctly. For example 9 - 3 = 6 and f(3) = 41.25

  19. Hero
    • one year ago
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    Also, -a -b = -c.

  20. anonymous
    • one year ago
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    whats wrong with the ones i wrote isn't that correct? -24.75 - 45.25 = f(70)= f(7) -24.75 - 45.25 = 70= 7

  21. anonymous
    • one year ago
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    @Hero

  22. Hero
    • one year ago
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    Put it this way, there's a reason why I made the suggestions I made.

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spraguer (Moderator)
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