Question

the domain of $y = x^3$ is
$x > 0$.
$x \geq 0$.
all real numbers.

Explanation:

Step1: Recall Domain of Cubic Function

The function \( y = x^3 \) is a cubic function. For polynomial functions (like cubic, quadratic, linear), the domain is all real numbers because there are no restrictions (no division by zero, no square roots of negative numbers here).

Step2: Analyze the Graph

Looking at the graph, the curve extends to the left (negative x - values) and right (positive x - values), indicating that x can take any real number value. The options \( x>0 \) and \( x\geq0 \) restrict x to non - negative or positive values only, which does not match the graph or the nature of the cubic function \( y = x^3 \).

Answer:

all real numbers.