Two students in your class, Hunter and Maggie, are disputing a function. Hunter says that for the function, between x = -2 and x = 2, the average rate of change is 0. Maggie says that for the function, between x = -2 and x = 2, the graph goes up through a turning point, and then back down. Explain how Hunter and Maggie can both be correct, using complete sentences.

Question

anonymous · Answer

@ganeshie8

anonymous · Answer

@phi

phi · Answer

function, between x = -2 and x = 2, the average rate of change is 0. 

that means  f(-2) = f(2)

anonymous · Answer

is that it?

phi · Answer

you can think of f(x) as a line that starts at x=-2 and goes to x=+2
you start at some y value at x=-2.  draw a "curve" that goes wherever (but no "backtracking",  but at x=2, it is at the same height as when it started.

can you draw an example ?

anonymous · Answer

honestly no, I don't really get the question ._. sorry

phi · Answer

Let me start it for you
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