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How are the increasing and decreasing intervals of a function and it’s reciprocal related?

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  1. if f (a) and f(b) are positive, then
    increasing means that if a<b then f(a) < f(b)
    so 1/f(a) > 1/f(b)
    so 1/f(x) is decreasing

    Explore what happens when a or b or both are negative.
    maybe a good online graphing site would be useful at this point to check your conclusions.

    Or, if you have calculus, compare the derivatives.

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