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Math Help - Find Average Rate of Change

  1. #1
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    Find Average Rate of Change

    Find the average rate of change of the function f(x) = (-x^3) + 1:

    (a) From 0 to 2

    (b) 1 to 3
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by magentarita View Post
    Find the average rate of change of the function f(x) = (-x^3) + 1:

    (a) From 0 to 2

    (b) 1 to 3
    the average rate of change for a function f(x) between x = a and x = b, for a < b is given by

    \frac {f(b) - f(a)}{b - a}
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  3. #3
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    Tell me more....

    Are you saying to plug the values given into the function?

    Can you further explain your first reply?

    Thanks
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  4. #4
    Senior Member nikhil's Avatar
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    Check this out

    Quote Originally Posted by magentarita View Post
    Find the average rate of change of the function f(x) = (-x^3) + 1:

    (a) From 0 to 2

    (b) 1 to 3
    let me do (a)
    f(x) = (-x^3) + 1
    f(0)=(0)^3+1=1
    f(2)=(-2)^3+1=-7
    so average rate of change will be
    (f(2)-f(0))/2-0
    -8/2=-4
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  5. #5
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    Got it Now...

    I totally get it now. Thanks a million! It's easier than the textbook's explanation.
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