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Math Help - Average Rate Of Change

  1. #1
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    Average Rate Of Change

    What is the average rate of change between x and x + h for the function f(x)=(2x+4)/x . Show your simplification.
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  2. #2
    Senior Member eumyang's Avatar
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    f(x)=\dfrac{2x+4}{x}

    Find f(x + h):
    f(x)=\dfrac{2(x+h)+4}{x+h} = \ldots

    Plug f(x + h) and f(x) into
    \dfrac{f(x + h) - f(x)}{h}
    and simplify.
    Last edited by eumyang; August 3rd 2010 at 01:19 PM. Reason: Typos.
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  3. #3
    A Plied Mathematician
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    \dfrac{f(x + h) - f(h)}{h} is incorrect. It should be

    \dfrac{f(x + h) - f(x)}{h}. That's the slope of the secant line, which also happens to be equal to the average rate of change.

    [EDIT] Typo fixed.
    Last edited by Ackbeet; August 3rd 2010 at 01:22 PM. Reason: Typo fixed.
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  4. #4
    Senior Member eumyang's Avatar
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    Yes, of course. Fixed now.
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