What is the average rate of change from x = -4 to x = 1?
https://vvsd6966-vvagpeap-ccl.gradpoint.com/Resource/8685581,0/Assets/71871_53b5a642/03_12_26.jpg
-3
-1
0
1

Question

What is the average rate of change from x = -4 to x = 1?
https://vvsd6966-vvagpeap-ccl.gradpoint.com/Resource/8685581,0/Assets/71871_53b5a642/03_12_26.jpg
        -3
	-1
	0
	1

anonymous · Answer

@dan815 @ganeshie8

ganeshie8 · Answer

average rate of change is same as the slope

ganeshie8 · Answer

given two points, do you know how to find the slope  ?

anonymous · Answer

Yes.

ganeshie8 · Answer

good, see if you can find the slope of the segment joining below two points :

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anonymous · Answer

Do we assume y = 0?

anonymous · Answer

Oh!

anonymous · Answer

(1, -1) (-4, 4)
4 - (-1)/-4 -1
5/-5
-1

ganeshie8 · Answer

More precicely :

average rate of change between two points is "defined" as the slope of the secant line connecting those two points

ganeshie8 · Answer

Looks good !

anonymous · Answer

Thanks!

ganeshie8 · Answer

you could also see it from the graph :
The secant line in red is falling by 1 unit as you go right by 1 unit. So the average rate of change over the given interval is -1

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