we are given the function
[tex]y=x^{\frac{1}{6}}[/tex]
to picture this graph, we can find the inverse. It would be
[tex]y=x^6[/tex]
which looks like this:
now, note that the shape of the function of y=x^1/6 is mostly the same, but rotated to the right. Also, for y=x^1/6 to be a function, we must discard half of the graph. So the graph of the function will look as the half of a parabola turned on its side.
