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- anonymous

Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = -1 and x = 1, the average rate of change is 0. Alexis says that for the function, between x = -1 and x = 1, the graph goes up through a turning point, and then back down. Explain how Wilson and Alexis can both be correct, using complete sentences. @phi

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- anonymous

- katieb

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- anonymous

someone please help me!

- anonymous

will give medal

- Jack1

hi

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- anonymous

hello

- anonymous

can you help me with this one

- Jack1

will try @kaity2017

- Jack1

rate of change = gradient of the line
if the average rate of change = 0 between 2 points, then it fluctuates at a constant rate from +ve to negative or from -ve to positive... does this make sense so far?

- anonymous

yes

- Jack1

|dw:1435588549727:dw|
k, well this graph, it goes up on a steep gradient
to a turning point (in this case a point of reflection)
then down on an equal but negative gradient... so over that equal distance the average gradient is = 0
i dont really know how to explain alexis's point, other than that it rules out a graph like the below:

- anonymous

thank you! @Jack1

- Jack1

|dw:1435588787695:dw|

- Jack1

np

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