 Let's take that question. Let's take that question. Very good question. Let's do this question. So, Aditya, GIF is very important. Are you able to solve any complicated problems? I would also add GeoFix. That's one question. Second question is, please plot the graph. I know you know the assignment of the answer. I'm very happy to help you out. Redefining means trying to write it without using those very brackets. Just in simple terms. I'll give you an example. If I do redefine it, I would say GeoFix or I would say the fraction part of X whole cube will just behave as X cube when your X is all in between. Zero and one. Agreed or not? Ashish, Shomik, Trippan, Agreed or not? Krishna? See, sure. When you are between zero and one, there is no difference between X and the fraction part of X cube. So, the cube of the fraction part of X is as good as the cube of X cube. So, same thing remains. Aditya, is that clear? When you have, what will happen to the fraction part of X? Just go back to the definition of the fraction part of X. Anybody still confused about? Yeah, good name. Is that fine? This is the only time when you get to study it. That's why we have included it in the bridge question. Try to understand the seriousness of the situation. Jai loves graphs. They'll give you such questions, if you don't apply a graphical method of solving it, you'll never be able to solve it. I'm sure nobody has any iota of doubt also in redefining it. Can I plot it now? Let's do that. X cube, you know? X cube, you know? Like this, correct? I don't need you. Now, this part, check out the response if you have. That Z and paste, paste, paste, paste, paste. Unless you know. And you'll know. Bottom part? Zero to one point. So, one final verdict. I'm not going to repeat this again in my life again. Let's go step by step. Some of them need my help. It's important. Had it not been your produce so much? Clear? Read it first. Because Ananya and specially Anjali, this is clear. When X is between? Zero. That means when X is also protection of these two. When something is already between zero and one. What will fraction part do? Nothing to it. Fraction part will not change it at all. Because something is already between. So fraction part of something which is already between zero and one will be the same now. X cube is between one and two, not X. X cube is between one and two. Yes or no? If X cube is, what will be the fractional part of X cube then? Something, let's say a number. What will be your point? One point three. What will be the fraction part of one point three? Point three. Point three. How did you get that point three? Subtracting one from your answer. If X cube is Shushant, it seems to be very quiet today. After Aditya left you. To the next step. Come on, it's very easy. When? What is this? Greater than equal to? Aditya, yes or no? Brilliant. Are you getting the feel of the problem that came from there? Now if X cube is between two, this is alright. No. In light of this, if you have to plot this graph, you can keep on going, I don't want waste time repeating the same stuff. So if I have to do this, how would I do this graph? Let's say again as a request, please take notes from somewhere about all the standard graphs and the transformations which we have done. I understand this class will feel problem, next class will be calculus which is a fresh term. Don't worry about it. Yes, tell me. So between 0 and 1, can I say this graph? Shhh, I'm just shading it. By the way, it will match with your, this one will be cube root of 2. So when you are between 1 and cube root of 2, you have to draw X cube minus 1. So this part of the graph Y equal to 3. So this part will be dropping by understood. What will happen on this side? So this side, the part which in this one, what will happen? What will happen to it? Seriously. Miral image. Maybe I've drawn a bit more far, so it will be something like this. So this part will move up like this. Is that funny? Which part? Can I redefine it? Something which is like between minus 1 and 0, take an example. Minus 0.5. If I say what is the, what will you say? What is that? 0.5 only? Yes or no? Guys, come on. What is the minus 0.5? 0.20. By how many minutes? So this arrow got a push up of 1 minutes. Is that funny? Now will you be able to manage when I'm just fractioning when I'm just putting curly curly brackets around the whole function? Both of them can be managed. I'll just give a very simple example for that.