00:00Friends, if you want our question graph with such an absolute value, what should we do?
00:05The question asks you to graph the function absolute value x plus absolute value y equals 4.
00:10So, in order for us to be able to do this, let me first write something.
00:17First, friends, we will examine four cases where x is greater than 0.
00:22x greater than 0, y greater than 0.
00:27What's the second one, guys? That x is less than 0, and y is also less than 0.
00:34Our third case is when x is greater than 0, and y is less than 0.
00:42The fourth case is when x is less than 0 and y is greater than 0.
00:51Now let's look at these and see what situations our colors will be in.
00:56If x is greater than 0 and y is greater than 0, then x comes out as positive when taken as an absolute value.
01:00We find that x plus y equals 4.
01:03If x is less than 0, it takes a minus sign in front of it, minus x.
01:06If y is less than 0, you put a minus sign in front of it, so minus y equals 4.
01:11If x is greater than 0, then x equals 4; if y is less than 0, then -y equals 4.
01:17If x is less than 0, then -x equals 4; if y is greater than 0, then +y equals 4.
01:23Now let's try to see where x and y intersect.
01:29Now, here, for x equals 0, our y is 4, right?
01:34Similarly, for y equals 0, our x is 4.
01:39What is the value of x equals 0, guys?
01:43Our y is minus 4.
01:46And also, for y equals 0, our x is minus 4.
01:53Similarly, for x equals 0, our y is minus 4.
01:59If y equals 0, then our x is 4.
02:06And also, what is our fourth case where x equals 0?
02:11y to 4.
02:13What is the value for y equals 0?
02:17Our x is minus 4.
02:19Once we've found these, we can move on to the graphic design phase.
02:23I'll draw my graph right away.
02:30Now, as you can see, all the four-person groups are cutting off at 4 and minus 4.
02:34I'm placing it.
02:354, minus 4, 4, minus 4.
02:40Now, in our first scenario, what are the friends?
02:43The large positive value of our x is calculated as follows.
02:46Where does it intersect x and y?
02:48He cuts it off around 4.
02:49So, wouldn't our truth then be this, friends?
02:53Yes, what is this?
02:55The graph of x plus y equals 4 of us.
02:58So, what's our second situation, folks?
03:01I'll check right away.
03:03Minus 4 to minus 4.
03:04Third region.
03:08I'm drawing it with cuts and lines like this, guys.
03:11We are currently creating the first stage of the graph.
03:13We haven't quite figured it out yet.
03:14So, friends, what is this place?
03:16x minus y equals 4.
03:20What are friends in the third stage?
03:22Our x is 4, our y is -4.
03:26This is the place, folks.
03:28x minus y equals 4.
03:36And finally, what are friends?
03:39Our x is minus 4, our y is 4.
03:45Fourth.
03:47Right, guys?
03:48Yes.
03:49So here, minus x plus y equals 4.
03:54Yes.
03:56Now that I've answered my question, let's see how I'm going to create my graph.
03:59Which regions, which parts will we include along these lines?
04:02Friends, when I look at the first one, it says x greater than zero, y greater than zero.
04:06Our graph, our part, was right here, wasn't it?
04:09Yes.
04:09Where is the point where x is greater than zero and y is greater than zero?
04:13Isn't this the first zone, guys?
04:15Then we take this part.
04:17When I look at the second one, x is less than zero, y is less than zero, folks.
04:21x minus y equals 4.
04:23What's going on there, guys?
04:24x and y will be negative.
04:25We're taking this place.
04:27This is where we're installing the second part.
04:30In the third part, x will be greater than zero, and y will be less than zero, folks.
04:34Isn't it?
04:35What was that, folks?
04:36x minus y 4.
04:37Look, this is the part where x is positive and y is negative.
04:41This is for you, friends.
04:42We insert the third part and only take this part.
04:46When we look at the fourth part, x is less than zero, y is greater than zero, folks.
04:50What is that?
04:51Of course, the second area is right here.
04:54This is the graph of our function, absolute value x plus absolute value y equals 4, which I've drawn in red.
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