# How do you find the domain and range for y=x^2?

The function $y = {x}^{2}$ is defined by all $x$ values, given that all real numbers $x$ can be raised to the square. However, when a number $x$ is raised to the square it is always positive; that is, regardless of whether $x \ge 0$ or $x < 0$ the value ${x}^{2} \ge 0$. Hence the range of the function is all $y \ge 0$