CBSE Class 12-science Answered
The maximum and the minimum values, if any of the following functions
f (x) = |x + 3| for all ![](http://images.topperlearning.com/topper/questions/1209_image191.gif)
![](http://images.topperlearning.com/topper/questions/1209_image191.gif)
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
We have
f (x) = |x + 3| for all ![](https://images.topperlearning.com/topper/questions/1209_image214.gif)
![](https://images.topperlearning.com/topper/questions/1209_image214.gif)
Now, |x + 3|
for all ![](https://images.topperlearning.com/topper/questions/1209_image214.gif)
![](https://images.topperlearning.com/topper/questions/1209_image217.gif)
![](https://images.topperlearning.com/topper/questions/1209_image214.gif)
![](https://images.topperlearning.com/topper/questions/1209_image192.gif)
![](https://images.topperlearning.com/topper/questions/1209_image218.gif)
![](https://images.topperlearning.com/topper/questions/1209_image214.gif)
So, the minimum value of f (x) is 0, which it attains at x = — 3
Clearly, f (x) = |x + 3 | does not have the maximum value
Answered by | 04 Jun, 2014, 15:23: PM
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