Calculus-Solve for range

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Suppose on the interval \([1,5]\) we have:

[MATH]g'(x)=0[/MATH]
 
What have you tried? Where are you stuck? Show us something so that we can help you. Even if you know your work is wrong it will still help us in helping you. So please post your work. For the record if you had obeyed our guidelines and showed us your work you would have received help by now.
Understood that g'(x) should lie between -2 and 2. But since, there no equation given, I don't know how to continue further.
 
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