CBSE Class 11-science Answered
Draw the graph of the function y = x - ![](http://images.topperlearning.com/topper/questions/7531_image005.gif)
![](http://images.topperlearning.com/topper/questions/7531_image005.gif)
Asked by Topperlearning User | 07 Jun, 2016, 09:43: AM
We have, ![y equals x minus open vertical bar x close vertical bar](https://images.topperlearning.com/topper/tinymce/cache/c7de1cbc9b9f1579415d94c92b76744f.png)
![y equals x minus open vertical bar x close vertical bar](https://images.topperlearning.com/topper/tinymce/cache/c7de1cbc9b9f1579415d94c92b76744f.png)
When x
0,
= x
y = x - x = 0
![](https://images.topperlearning.com/topper/questions/7531_image006.gif)
![](https://images.topperlearning.com/topper/questions/7531_image005.gif)
![](https://images.topperlearning.com/topper/questions/7531_image007.gif)
When x < 0,
= -x
y = x + x = 2x
![](https://images.topperlearning.com/topper/questions/7531_image005.gif)
![](https://images.topperlearning.com/topper/questions/7531_image007.gif)
![](https://images.topperlearning.com/topper/questions/7531_image007.gif)
![y equals open curly brackets table attributes columnalign left end attributes row cell 0 space i f space x greater or equal than 0 end cell row cell 2 x space i f space x less than 0 end cell end table close](https://images.topperlearning.com/topper/tinymce/cache/0ed085d79eb6629eeb211b08b804c24d.png)
So, the graph of this function is as follows
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/a041435e1d4d0dcfa9afb49f6a12f052575665eeed3486.9231056588.jpg)
Answered by | 07 Jun, 2016, 11:43: AM
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