Question: I have a quarter 1 test tomorrow and I have looked on many websites containing set builder notation to find domain and range but I still don't understand. Is there anyway to remember it or even how to do it??

Answer: 
If you're given a graph the range is all of the $y$ values and the domain is all of the $x$ values where the graph exists.

For example, consider this graph

[![enter image description here](https://i.stack.imgur.com/Maj5S.png)](https://i.stack.imgur.com/Maj5S.png)

What are the $x$ values at which the function is defined? Well we can see it starts at $-3$ on the left and keeps going until $4$. Notice, that even though this is a piecewise function, every single $x$ between $-3$ and $4$ corresponds to a point on the graph. Then we just need to take into a account whether the endpoints are included or not. In this case $-3$ is but $4$ is not. So the domain, in set builder notation, is $\{x\mid -3\le x\lt 4\}$.

As for the range, we look at the $y$ values. The lowest $y$ value at which the function is defined is $-3$. Then continuing up we see a break from $0$ to $1$. There is no point on the graph that corresponds to $y$ values between those two numbers. But then it continues at $1$ and goes up to $2$. In this case $-3$, $0$, and $1$ are definitely included. It might be slightly harder to tell that $2$is included, but it is. So the range is $\{y \mid -3\le y\le 0 \text{ or } 1\le y \le 2\}$.
I'm going to make some assumptions, let me know if this is what you have in mind.

Suppose we are given this graph:

[![enter image description here](https://i.stack.imgur.com/g1mmK.png)](https://i.stack.imgur.com/g1mmK.png)

and we are asked to give the domain and range of the function in set builder notation.

We can see that the function has a value at all points except where $x = 0$. So the domain of the function is $\{ x \in \mathbb{R} : x \neq 0 \} $

Now we will consider the range. Note that the function goes off to $\pm\infty$ near the origin, so most values are in the range of the function. However, this particular function never crosses the x-axis,
so 0 is not in the range. Therefore, the range is $\{ y \in \mathbb{R} : y \neq 0 \}$.

In all questions of this form, you have to first: identify the domain and range, and second: write it in set-builder notation. You can think about finding the range by imagining horizontal lines and seeing at what y-values they do (and do not) intersect the graph. Likewise with horizontal lines for the domain.