- #1

- 467

- 0

## Homework Statement

I don't remember the exact question right now, but it was something like this:

f(x) = sqrt(4 - x^2)

I needed to give the domain / range of it, and also symmetry I believe.

## Homework Equations

## The Attempt at a Solution

I know this is a half circle after being graphed, but how can I show the domain and range in a math way?

For domain, I know 4 - x^ must >= 0, so I can solve for it that way.

But what about range?

Can I also just isolate x and then get sqrt with y inside and restrict to real numbers?