Rate of change, max and min... posted graph link at bottom?

Posted on 2015-10-05 06:53:00 in Math by ANDREA

Given the graph of the function below 

1. What are the absolute extrema (maximum and minimum)? 



2. For what x values do they occur? 



3. What are the local extrema (maximum and minimum)? 



4. For what x values do they occur? 



5. What are the similarities and differences between the absolute extrema and the local extrema? 



6. For what values is the function increasing? 



7. For what values is the function decreasing? 



Using induction from the above example, complete the following statements 

8. If a function is increasing on and decreasing on , then the function has a ______________ at ____________ 

9. If a function is decreasing on and increasing on , then the function has a ______________ at ____________

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