Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

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If  is increasing on , then  for each  in .

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A. False. For example,  

 increasing on any  but 


B. True. This follows from the definition.
C. False. For example, 

 increasing on  but 



Answer: A

Mathematics

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