Average Rate Of Change

Question

Find the average rate of change of  between the points (-1,-6) and (4,-81)

Answer 1

Average rate of change is the slope of the line connecting the end points on the specified interval

Here, when x = -1, g(x) = -6 (I assume you meant g(x) = -5x^2 - 1)

at x = 4, g(x) = -81

So the run is 5 (4 -(-1))

The rise is -81 -(-1) = -80

rise/run = slope or -80/5