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- anonymous

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. @iambatman

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- schrodinger

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Can anyone help me?

- anonymous

\[avg~~ROC=\frac{ f(3)-f(-3) }{ 3-(-3) }\]
For the average rate of change to be 0, f(3) and f(-3) would have to be the same. If the function is continuous, that can only happen if there is a turning point (maximum or minimum) between -3 and 3.|dw:1434415830889:dw|

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- anonymous

Thanks that makes a little more sense

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