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Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = -3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = -3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences.
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This is simple as the word average is used. Yes the average rate of change is 0, but that doesn't mean it has to be a straight line between those points. Because the word average is used, it can go up three and down three and the average will be 0. Does this make sense?