Find the domain and range of the following graph (write your answer using interval notation).

Dom: [ − 4 , 4 ] \left[-4,4\right] [ − 4 , 4 ] , Ran: [ − 5 , 5 ] \left[-5,5\right] [ − 5 , 5 ]

Find the domain and range of the following graph (write your answer using interval notation).

Alright. So in this problem, we are asked to find the domain and range of the following graph and to write our answer using interval notation. So So if we take a look at the graph that we have here, what we can do to find the domain of the graph is to squish our graph down to the x axis. So if you imagine taking every point on this graph and squishing it down to the x, this will tell you what the domain is going to look like for your graph. And what we're going to end up with is a line that goes from negative 4 all the way over here to positive 4. So we can say that our domain goes from negative 4 to positive 4, and we want to include both these values since we see closed dots on this graph. So this right here is going to be the domain of our function. Now we're also asked to find the range. And when finding the range, this is taking your graph and squishing it down to the y axis. So if you imagine that you take every single point here and you squeeze it down to the y, this is going to be your range. And we can do this by creating a line on the y axis, which would go from negative 5 all the way up here to positive 5. So we can see that our range goes from negative 5, and we need to include this because we have the closed circle to positive 5, which also has a closed circle, so we need to include that. So this is going to be the domain and range of the graph that we have. Hopefully, you found this video helpful.