Given function is FX equals minus X. If the value of X is less than it goes to zero on FX equals nine minus X square in the value of X is between zero. Entry were three is included on affects equals X minus three If X is greater than three. No firstly deplored the graph of dysfunction. Guilty. If X is less than it goes to zero, then our function FX is then I function effects equals two minus X. Now, the graph of this function is similar to the graph off equation by equals two minus eggs and we will now to some values off X, for which we will try to compute the corresponding value of ethics. So, firstly, we need to choose the values off Exeter less than equals 20 So values of x zero minus one and minus two. So for these values off X r value off FX is 01 and two lording these points on a graph we get, This is the point zero comma zero and since this point is included in this part off our graph, so we will make a solid or tail to represent that this is included. This point is minus one comma one. This point is minus two Komodo. So we applauded these points. Now, connecting all these points, we get the graph, we get the part off our graph, which is lying left to the point X equals 20 now. Secondly, if we take the value off expert with zero and three were three is included, then our function F X is nine minus X squared, which is on the graph of function. F X equals to nine minus. X squared coincides with a graph off equation by equals through nine minus X squared. Now we will try to upload the graph of dysfunction by plotting the points, do some values off X and then find the corresponding values off ethics. The leaves off extra built between zero entry where three can be included. So I don't think the values 12 and three corresponding values off FX are it five AM zero. No bloating these points. This is a point. Good. My point is zero coma nine and saying this point is not included, Sybil maker or panned out here. To represent that this point is not included. But at this 0.0 common in as if we put the value of excess zero hill. Our value of effects becomes nine. So this point is one go my aid tokuma five. And lastly, this point is three coma zero. Now connecting these points, we get another part offer graph which is a parabola Now, lastly, if we take the value off X greater than three, then FX is X minus three and the graph of function effects equals two X minus three coincides with the graph of figuration. X equation y equals X minus three. Now we will take some values of X and find correspondingly off FX. It is X minus tree. Now there's some values off X that we, too should be greater than three. Therefore, X must be 456 and you can take another values also So for X equals one FX is so for X equals for the value of FX is one for X equals five. The value of FX is to and for X equals six. The value off FX is three floating these points here we get these points which are for coma one five Coomer two and six coma three now connecting all these points, I get the remaining part off my graph, which is like this. And since X equals 23 is not included. Therefore, I will make an open door here to represent that This point is not included in this point part of the ground. While this point was included in this part of the gravity is a parabola. So I've got the equation. I have floated the graph off this equation or dysfunction, which was peace wide piece wise, defined function given to us.