Questions about this graph

[amantonas]

I was taking a math test today, and one of the problems really confused me. It said:
"Graph y=√(x) and y=³√(x) in your calculator. Why is the graph of y=√(x) below the graph of y=³√(x) when 0<x<1, and why is it above when x>1?"

 

[tkhunny]

Because it is? What is wanted? What a strange question.

Maybe you could make a comparison between y^2 = x and y^3 = x.

 

[amantonas]

That might be it, but the chapter focused a lot on the domain and range of functions and their inverse, so I think it probably has something to do with domain and range. I could be wrong though.
EDIT: I talked with my dad about it, and we decided that a fraction squared will be bigger than a fraction cubed, because any fraction times another fraction will be a smaller number. So, .5^2=.25, and .5^3=.125. And the graph represents the inverse of that?

 

[tkhunny]

Well, your dad has successfully reiterated the question, but that is really an unsatisfying "why".

Good luck. Come back and tell us what the "correct" response is. I hardly can wait.