Hi, I'm having trouble on finding the domain of y=x^(1/3). Mathematica is plotting the graph for x E [0,infinity). If x is a negative number, then (-x)^(1/3) is (-1)^(1/3)*(x)^(1/3) which is -(x)^(1/3) for every x and there shouldn't be any problem to graph for this domain. So why can't I take the negative numbers as a domain of this function?

Somebody help me understand this!

Thank you.