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, except for x = 0, there will be two values for y, e.g. when x = 1, y can be 1 or – 1 since its power of index is positive, so the equation $x = y^4$ 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 $(–\infty, \infty)$.