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algebra 2: 2 students are disputing the properties of a function

Yanchloe

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Jan 12, 2017
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Two students in your class, Tucker and Kathy are disputing a function. Tucker says that for the function between X=-3 and X=3, the average rate f change is 0. Kathy says that for the function, between X=-3 and X=3, the graph goes up through a turning point ad then back down. Explain how Tucker an Kathy can be both correct.
 

Subhotosh Khan

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Two students in your class, Tucker and Kathy are disputing a function. Tucker says that for the function between X=-3 and X=3, the average rate f change is 0. Kathy says that for the function, between X=-3 and X=3, the graph goes up through a turning point ad then back down. Explain how Tucker an Kathy can be both correct.
What are your thoughts?

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stapel

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Two students in your class, Tucker and Kathy are disputing a function. Tucker says that for the function between X=-3 and X=3, the average rate f change is 0. Kathy says that for the function, between X=-3 and X=3, the graph goes up through a turning point ad then back down. Explain how Tucker an Kathy can be both correct.
Draw a graph that complies with Kathy's description. Then consider the endpoints, along with the definition of "average rate of change". ;)
 
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