Answer
Refer to Graph I, it is NOT a function.
The domain is $[0, \infty)$.
The range is $(–\infty, \infty)$.
Work Step by Step
Refer to Graph I and by way of Vertical Line Test,
it is NOT a function because each vertical line drawn will intersect the curve on the graph in more than one point.
And, for any value of x, there will be more than one corresponding value for y, so the equation $x = y^6$ does not define a function.
The x-values of the points on the curve will include all the real numbers from $0$ to $\infty$. The domain is $[0, \infty)$.
The y-values of the points on the curve will include all the real numbers between $–\infty$ and $\infty$. The range is $(–\infty, \infty)$.
