# How do you find the domain and range of f(x)= -x^2?

Oct 3, 2017

Determine the set of values that the function can possibly have.

#### Explanation:

The domain and range are a set of values that a function can have - specifically its $x$ and $y$ value respectfully.

Knowing that the function $f \left(x\right) = - {x}^{2}$, we know that the function has no limit to its $x$ variables. As a result, its domain is #{x inRR}.

As for the range, there is a limit. If we graph the function, we would see that function can only be $0$ or less. Thus, we get a range of $\left\{f \left(x\right) \in \mathbb{R} | f \left(x\right) < 0\right\}$.

Here is the graphed function just in case:

graph{-x^2 [-10, 10, -5, 5]}

Hope this helps :)