Answer
Refer to Graph I, it is a function.
The domain is $(–\infty, \infty)$.
The range is $(–\infty, \infty)$.
Work Step by Step
Refer to Graph I and by way of Vertical Line Test,
it is a function because each vertical line drawn will not intersect the curve on the graph in more than one point.
And, for any value of x, there will be exactly one corresponding value for y, so the equation $y = x^3$ defines a function.
The x-values of the points on the curve will include all the real numbers between $–\infty$ and $\infty$. The domain is $(–\infty, \infty)$.
The y-values of the points on the curve will include all the real numbers between $–\infty$ and $\infty$. The range is $(–\infty, \infty)$.
