Rate of change on graphed lines and curved lines

[Janet Tolbert]

Find the rate of change at each interval

x	y
-3	10
-2	5
-1	2
0	1
1	2
2	5
3	10

The answer options are A) (1,3) B) (-1,1) C) (0,2)

I am trying to help my nephew figure this out, i am not even sure what the teacher wants. I have been reading about the changing slopes of curved lines, so the slope is different between every 2 points on the line. So why are there so many points and only one answer? I have graphed all the points. Don't understand what the question even wants. I read a little bit about drawing the tangent lines etc. Still don't understand. PLEASE HELP ! If i can figure this out i can help him complete his assignment and help him figure it out as well.

 

[stapel]

Are you sure you've copied the exercise correctly? Because a "rate of change" isn't going to be a point (as are the answer-options listed).

Thank you!