The graph of the parent function f(x)= x^3 is transformed such that g(x)=(-1/2x^3). Which statements about the graph of g(x) are accurate? Select three options.
A. The graph does not pass through the origin.
B. As x approaches negative infinity, the graph of g(x) approaches infinity.
C. As x approaches infinity, the graph of g(x) approaches infinity
D. The domain of the function is all real numbers.
E. The range of the function is all real numbers.