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college algebra

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Can anyone please help me with this?
for the function f(x) =1/x....f(x)is increasing on the interval(s) and f(x) is decreasing on the interval(s)???

  • college algebra - ,

    Recall that f increases where f' > 0

    f = 1/x
    f' = -1/x^2

    f' < 0 for all x ≠ 0

    Think about the graph. It's a hyperbola, and is always decreasing, on both sides of the vertical asymptote at x=0.

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