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anonymous
 one year ago
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.
anonymous
 one year ago
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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mathmate
 one year ago
Best ResponseYou've already chosen the best response.1To answer this question, you need to know the meaning of the words. If you don't already know them, here're some links that can help you: average rate of change between a and b (b>a) = (change in y)/(change in x) = \(\Large \frac{f(b)f(a)}{ba}\) (see also http://cims.nyu.edu/~kiryl/Precalculus/Section_2.4Average%20Rate%20of%20Change/Average%20Rate%20of%20Change.pdf ) and for turning point, look under "turning point" in https://www.mathsisfun.com/algebra/polynomialsbehave.html Now you can try to sketch a graph between 3 and +3 that satisfies the description given in the question, and explain accordingly.
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