Use the graph to find the following. When we look at this problem, we need to remember that F of X = y. So the number inside the parenthesis is our X and the number that the F of X equals is the Y. So it's really just a point XY. So when I say F of four, it says look where X is 4. So if we come to the graph, we count over for our X. So our X is 4 right here. So if we think about looking down on the graph to see what the Y value is when the X is 4, we can see that the Y is -4. So when X IS4Y is -4, the domain goes with the X value. So when it's asking for the domain, it's saying how far to the right and how far to the left does our graph go? So if we're looking at this, we can see that we don't intersect the graph at all way out here and we don't intersect the graph at all, and we don't intersect the graph at all. And then all of a sudden we do start intersecting the graph. Now the fact that that's an open dot tells us it's not going to be included. It's not equal to. So starting at one, it's going to be getting closer and closer and closer, but not equal to. So one less than X. And if we think about these vertical lines, they keep intersecting the graph until we actually get to seven. And once again, it's an open dot. So it's getting closer and closer and closer, but not equal to. So it's going to be one through 7. For our X's, the only X values that intersect the given graph would be from 1:00 to 7:00. If I had had an X value of -7 down here, I can see it doesn't intersect that line segment. The fact that it doesn't have arrows on each end tells us it's not going on and on forever. It's just literally from the X equal 1 through the X = 7. This next part says what is the set of all values such that F of X equal -4. Well, remember this F of X is really really just our Y. So what it's saying is what value of X gives us AY of -4. So Y is the up and down. So if I go to -4 here, I can come across and I can say the graph intersects at if I look up when X is 4, so when Y is -4 X is 4. So right here, the value of four, the last one says the range. The range is our Y. So now we're going to think about how far up and down it goes. So if I was way down here at -9 I would not be intersecting the line segment. I don't start intersecting the line segment until I hit -6 and at -6. It's an open dot, so we're not going to include it. And then we have it intersecting all of these horizontal lines until we get to -2 and because it's an open dot again, it's just going to be less than. Now. We're eventually going to talk about a different type of notation called interval notation. And interval notation's going to use parentheses and brackets. It's going to use parenthesis if it's just a less than or, and it's going to use brackets if it had been a less than or equal to. So that's how to do this type of problem.