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

@SolomonZelman can you assist me please

anonymous · Answer

@aum

solomonzelman · Answer

opening down parabola that goes through the origin, at the interval  [-a,a].....

solomonzelman · Answer

oops, over the interval [-2,2]

anonymous · Answer

thats it?

solomonzelman · Answer

well, that way they are both correct, the average rate 0, over any interval [-a,a] such as [-2,2]

solomonzelman · Answer

and the function is increasing from [-2,0] and decreasing [0,-2]
(increasing:  positive slope)
(decreasing:  negative slope)

solomonzelman · Answer

you will need to do the setnce part

anonymous · Answer

ok can you help me with about 3 more please

solomonzelman · Answer

yes, but without any need for medals, please, if you can, open up a new question. I will see if I will be able to help you out....

anonymous · Answer

you dont want medals

anonymous · Answer

and ok i will in just a sec