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Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115 -1/10 1/10 10 -10
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let's pick two points on the table (-2, -5) (2, 35) average change = change in y/change in x
so, we first subtract the y-coordinates to find the change in y 35 - (-5) = ?
40?
good now we subtract the x-coordinates 2 - (-2) = ?
4
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good! so change in y/change in x = 40/4 = 10
Sorry for having closed your post by mistake. Mea culpa. Just divide the change in y by the change in x to get the average rate of change. This is very similar to finding the slope of a line segment connecting two points.
ok thank you i was wondering why it got closed
Not due to any fault of yours.
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