what is the domain and range of x^1/3

Question

What is the domain and range of x^(1/3)?  

I know what the cube root graph looks like, but I am unsure of the domain and the range especially at x=0.  

 

https://www.google.com/search?q=domain+and+range+of+x%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D&oq=domain+and+range+of+x%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D&aqs=chrome..69i57.1870j0j4&sourceid=chrome&ie=UTF-8#q=x^(1/3)

 

here is a google calculator link with the graph

 

Answer 1

The domain and range of y = ³√x is all real numbers. You can verify this by the graph of this function. There is no value of x that makes the function undefined. If you take the cube root of a number it can be positive, negative, or zero (the cube root of 0 is zero).