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Math Help - Abstract Functions

  1. #1
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    Abstract Functions

    Whats the diffrence in the domain of the abstract function f(x) = 4/3(Pi)x^3 and the domain of the function V = f(x) = 4/3(Pi)x^3 which gives the volume of a sphere as a function of the length of the radius of the sphere?

    (Pi) = symbol for Pi
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  2. #2
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    Hello, parker!

    What's the diffrence in the domain of the abstract function: . f(x) \:=\: \tfrac{4}{3}\pi x^3
    and the domain of the function: . V \:=\:f(x) \:=\:\tfrac{4}{3}\pi x^3
    which gives the volume of a sphere as a function of the radius of the sphere?

    The domain of the abstract function is: .  x \in (-\infty,\:\infty) . . . all real numbers.

    The domain of the volume function is: . x \in [0,\infty)
    . . We expect the radius to be greater than or equal to 0.

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