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Math Help - Average rate of change!

  1. #1
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    Red face Average rate of change!

    10. For the function y = x2, compute the average rate of change between x = 0 and x = 3. sorry wrong place!
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  2. #2
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    Quote Originally Posted by Annb View Post
    For the function y = x2, compute the average rate of change between x = 0 and x = 3.

    My answer is 9/2... I just wanted to see if that was correct, if what are the correct steps to solve this problem?
    Let y = f(x) = x^2.

    The answer, by definition, is \frac{f(3) - f(0)}{3 - 0} = ....
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  3. #3
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    oh ok the answer is 1.... thanks!
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  4. #4
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    Quote Originally Posted by Annb View Post
    oh ok the answer is 1.... thanks!
    No it's not.
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  5. #5
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    Quote Originally Posted by mr fantastic View Post
    Let y = f(x) = x^2.

    The answer, by definition, is \frac{f(3) - f(0)}{3 - 0} = ....

    Mr. Fantastic, is the reasoning correct?
    Did he mean x^2 or 2x?




    To answer this question if 2x, it should be 2.

    D = R * T \implies R = \frac {D}{T}

    Let D = y, R = R, and T = x
    Let x = 0 be the initial and x = 3 be final


    Then R = \frac {\Delta Y} {\Delta X}

    Then ...
    R = \frac {0 - 6}{0 - 3}

    R = \frac {-6}{-3}

    R= 2
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