Class 11-commerce RD SHARMA Solutions Maths Chapter 3 - Functions
Ex. 3.1
Ex. 3.2
Ex. 3.3
Ex. 3.4
Ex. 3VSAQ
Functions Exercise Ex. 3.1
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/74051_image002.png)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/74181_image004.png)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/74201_image006.png)
Solution 4
Solution 5
![](https://images.topperlearning.com/topper/bookquestions/74231_image010.png)
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/74251_image012.png)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/74271_image014.png)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/74281_image017.png)
Solution 9
![](https://images.topperlearning.com/topper/bookquestions/74331_image019.png)
Solution 10
![](https://images.topperlearning.com/topper/bookquestions/74351_image021.png)
Solution 11
![](https://images.topperlearning.com/topper/bookquestions/74391_image023.png)
Solution 12
![](https://images.topperlearning.com/topper/bookquestions/74411_image025.png)
Solution 13
![](https://images.topperlearning.com/topper/bookquestions/74431_image027.png)
Solution 14
![](https://images.topperlearning.com/topper/bookquestions/74451_image029.png)
Solution 15
![](https://images.topperlearning.com/topper/bookquestions/74471_image031.png)
Solution 16
![](https://images.topperlearning.com/topper/bookquestions/74491_3.1-17E.jpg)
Solution 17
![](https://images.topperlearning.com/topper/bookquestions/198825_3.1-17A.jpg)
Solution 18
Functions Exercise Ex. 3.2
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/74541_image037.png)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/74561_image039.png)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/74581_image041.png)
Solution 4
Solution 5
Solution 6
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/74621_image050.png)
Solution 8
Solution 9(i)
Solution 10
Solution 9(ii)
Solution 11
![](https://images.topperlearning.com/topper/bookquestions/74641_image055.png)
Functions Exercise Ex. 3.3
Solution 1(i)
![](https://images.topperlearning.com/topper/bookquestions/74651_image059.png)
Solution 1(ii)
![](https://images.topperlearning.com/topper/bookquestions/74661_image061.png)
Solution 1(iii)
![](https://images.topperlearning.com/topper/bookquestions/74671_image063.png)
Solution 1(iv)
![](https://images.topperlearning.com/topper/bookquestions/74681_image065.png)
Solution 1(v)
![](https://images.topperlearning.com/topper/bookquestions/74691_image067.png)
Solution 2
Solution 3(i)
![](https://images.topperlearning.com/topper/bookquestions/74711_image071.png)
Solution 3(ii)
![](https://images.topperlearning.com/topper/bookquestions/74721_image073.png)
Solution 3(iii)
Solution 3(iv)
Solution 3(v)
![](https://images.topperlearning.com/topper/bookquestions/74751_image079.png)
Solution 3(vi)
Solution 3(viii)
Solution 3(vii)
As |x|is defined for all real numbers, its domain is R and range is only negative numbers because, |x| is always positive real number for all real numbers and -|x| is always negative real numbers.
Functions Exercise Ex. 3.4
Solution 1(i)
![](https://images.topperlearning.com/topper/bookquestions/74771_image083.png)
Solution 1(ii)
![](https://images.topperlearning.com/topper/bookquestions/74781_image085.png)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/74791_image087.png)
![](https://images.topperlearning.com/topper/bookquestions/74791_image088.png)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/74801_image090.png)
Solution 4(i)
![](https://images.topperlearning.com/topper/bookquestions/74811_image092.png)
Solution 4(ii)
![](https://images.topperlearning.com/topper/bookquestions/74821_image094.png)
Solution 4(iii)
Solution 4(iv)
![](https://images.topperlearning.com/topper/bookquestions/74841_image098.png)
Solution 4(v)
![](https://images.topperlearning.com/topper/bookquestions/74851_image100.png)
Solution 4(vi)
![](https://images.topperlearning.com/topper/bookquestions/74861_image102.png)
Solution 4(vii)
![](https://images.topperlearning.com/topper/bookquestions/74871_image104.png)
Solution 4(viii)
![](https://images.topperlearning.com/topper/bookquestions/74881_image106.png)
Solution 5
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/74901_image111.png)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/106441_image004.png)
![](https://images.topperlearning.com/topper/bookquestions/106441_image005.jpg)
Solution 8
Solution 9
Solution 10