When you start learning about functions, it’s super important to understand what domain and range mean.

Domain is all about the input values (or $x$ values) that you can use in a function. You can think of it like a guest list for a party. If someone isn’t on the list, they can’t come in. In math, some functions can only accept certain values. For example, in the function $f(x) = \sqrt{x}$, the domain is $x \geq 0$ because you can’t take the square root of a negative number.

Now, let’s talk about Range. This is about the output values (or $y$ values) you get from the function. To keep with our party idea, if the domain is the guest list, then the range is what happens at the party. For our example, with the function $f(x) = \sqrt{x}$, the range is also $y \geq 0$. This means the results from the square root will always be non-negative.

So, by remembering both the domain and range, you can better understand what a function can do!