# What is the domain and range of y = x^4 ?

Domain: $\left(- \infty , \infty\right)$ Range: $\left[0 , \infty\right]$
In general, the domain of any polynomial is $\left(- \infty , \infty\right) .$
The range of a positive polynomial $y = {x}^{a}$ where $a$ is even is $\left[0 , \infty\right] .$