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anonymous

  • one year ago

Calculate the average rate of change for the given function, from x = −3 to x = 7. x f(x) -3 50 3 10 7 0

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  1. Vocaloid
    • one year ago
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    hint: average rate of change in a function from x = A to x = B can be expressed in the form [f(B)-f(A)]/(B-A)

  2. Vocaloid
    • one year ago
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    substitute x = -3 for A and x = 7 for B

  3. anonymous
    • one year ago
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    So [f(8)-f(-3)] 8-(-3)

  4. Vocaloid
    • one year ago
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    not quite, where is the 8 coming from?

  5. anonymous
    • one year ago
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    Oh xD meant to be a 7

  6. Vocaloid
    • one year ago
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    right, [f(7)-f(-3)] / 7-(-3)

  7. Vocaloid
    • one year ago
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    (we're not done yet, you still need to plug in your values of f(7), f(-3), and simplify)

  8. anonymous
    • one year ago
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    So f(10) /10 ?

  9. Vocaloid
    • one year ago
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    uh, not quite what is the value of f(7)?

  10. Vocaloid
    • one year ago
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    look at the table

  11. anonymous
    • one year ago
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    0?

  12. Vocaloid
    • one year ago
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    right, now what is the value of f(-3)?

  13. anonymous
    • one year ago
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    50

  14. Vocaloid
    • one year ago
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    Right! so, our formula [f(7)-f(-3)] / 7-(-3) gives us (0-50)/(10)

  15. Vocaloid
    • one year ago
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    which is -5

  16. anonymous
    • one year ago
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    Sweet thanks a lot :D

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