Question 1161128
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When the program says "the function is increasing on the interval [2,3]", it means the function is going uphill when {{{2 <= x <= 3}}}. So if x is between 2 and 3, inclusive of both endpoints, then the function is going uphill. By "uphill", I mean you go upward as you read from left to right.


In contrast, the portion {{{-2 <= x <= 2}}} is decreasing because the graph is going downill (as we read from left to right) for this interval. That's how they got the answer [-2,2]


The function is completely flat when x is between 3 and 5, so the interval would be {{{3 <= x <= 5}}} which is shortened to [3,5]


So in summary, we look at where the graph is going uphill, downhill or is flat. Then we record the x values to set up the proper intervals. 
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