What is the domain of the function $y=\sqrt[3]{x}$ ?
$-\infty< x< \infty$
$0< x< \infty$
$0 \leq x< \infty$
$1 \leq x< \infty$

Step 1 ：The domain of a function is the set of all possible input values (often the 'x' variable), which produce a valid output from a particular function.

Step 2 ：The cube root function, \(y=\sqrt[3]{x}\), can take any real number as input, including negative numbers, zero, and positive numbers. This is because any real number can have a cube root.

Step 3 ：Therefore, the domain of this function is all real numbers, or in mathematical notation, \(-\infty

Step 4 ：Final Answer: The domain of the function \(y=\sqrt[3]{x}\) is \(\boxed{-\infty