# What is the domain and range of y=x^2 - 5?

There are no restrictions on $x$ (no fractions, no roots, etc)
Range of $x : \left(- \infty , + \infty\right)$
Since ${x}^{2} \ge 0$ (always non-negative) the lowest value that $y$ can have will be $- 5$. There is no upper limit.
Domain of $y : \left[- 5 , + \infty\right)$