# What is the domain and range of y=x^3?

Jan 18, 2017

Both the domain and range are all real numbers, or $\mathbb{R}$.

#### Explanation:

${x}^{3}$ is a polynomial, which means its domain is $\mathbb{R}$, and in our case, its range is also $\mathbb{R}$ because the only root that ${x}^{3}$ has, 0, is not a double root (technically it's a triple root, and because 3 is odd, the function switches sign).