1. ## 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

2. Hello, parker!

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

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

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