Question

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

Answer 1

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(x)=-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 `{f(x) inRR | f(x) < 0}`.

Here is the graphed function just in case:

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

Hope this helps :)