Science:Math Exam Resources/Courses/MATH104/December 2013/Question 01 (g)
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Question 01 (g) 

Find the interval(s) on which is increasing. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

To find the intervals of increase and decrease of , we need to check the sign of between critical points (i.e., where is undefined or is equal to zero). 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Taking the derivative of this function yields
The derivative is undefined at x = 0 (as is the original function) and setting the derivative to 0 also gives
Therefore the function is increasing on . 