The last thing that I want to get through with you guys, here's a really b it's really something basic and simple, but a lot of students have trouble with it is identifying increasing, decreasing, and constants. So, I'm going to give you guys two little steps. Read a book. So the thing that comes confusing with this is number one, the notation looks like domain and range. But I want you guys to understand this is different. This is a different type of representation that we're doing. So first of all, read a book. Why am I talking about reading a book? Because I want you guys to read this book from left to right. Okay? Because what we're all basically what we're doing is we're going to tell a story. Okay? We're going to tell a story of what this graph is doing. It's either increasing, decreasing, or constant. All right. Now, the other thing is how we're going to tell our story is we're going to write down the x values and then of the x values, what are the y values doing? Okay. So, what we're going to do is we're going to start from negative infinity. It's like the start of time. Okay. So, as we're going from negative infinity, which is actually negative infinity down here, but x value, remember we're talking about we're writing the x values. So, when the x value is negative infinity, and I'm creeping up, then I shoot up all the way up here. And then I hit this apex, right? The top of there. So, from negative infinity to the x value of -4, what was the graph doing? Increasing, decreasing, increasing. Right? The y values were increasing. Right? from negative infinity from the x value negative infinity to neg4 the graph was increasing so you'd write neg4 now is neg4 a part of this graph yes so it's a parenthesy it's included right I didn't do that for domain and range over here because it's two and3 aren't included those are undefined so we use parenthesis then so it's increasing this is not domain range though so I'm not going to union them. I'm just going to put a comma. Then from the x value -4 to the x value -1, the y values are doing what? Decreasing. So you'd write from -1 oops, I'm sorry. From -4 to -1, the graph is decreasing. From -1 to positive3, it's increasing. And from 3 to infinity, it's decreasing. Does that kind of make sense? Just understand what students get trouble with is they want to use the y values instead of the x values. Read the read the graph from left to