I need help understanding this. Could someone walk me through it?

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

I need help understanding this. Could someone walk me through it?

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.

jdoe0001 · Answer

is simpler if we could see the graph
you can always post a picture/file  here by clicking on the [Attach File] blue button

animelover98 · Answer

There is no picture. It is simply a word problem, sorry...

jdoe0001 · Answer

hmm what's an average rate of change anyway?

animelover98 · Answer

The rate at which one quantity changes in regards to the other.

jdoe0001 · Answer

ok    so   let's see the graph    goes more or lesss from   -2  to 2  and Maggie says goes up and down thus |dw:1413583892474:dw|    notice the 2 points

"y" or the "rise" is at certain height  when x = -2
and then
"y" is at certain height again when x = 2

how much has "y" changed?   or how much has "y" changed over those 4 points ?