Question

Two students in your class, James and Annie, are disputing a function. James says that for the function , between x = -3 and x = 3, the average rate of change is 0. Annie 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 James and Annie can both correct, using complete sentences.

Answer 1

I am kind of lost on this. I don't know whether i should explain how to find the rate of change and how to find the turning point to be going up through a turning point then back down, or if it is something else... Can someone help me?

Answer 2

@robtobey or @Luigi0210

Answer 3

@agent0smith

Answer 4

This is like the third time I've answered this so it's gonna be brief.

For avg rate of change to be zero, all that matters is that the y-value at x=-3 is the same as the y-value at x=3. Nothing else matters.

Answer 5

ok thanks