The average rate of change over the interval (-3, 2) is 1
Average rate of change
The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation
Interval
The interval is given as: (-3,2)
From the graph, we have:
So, the average rate over these intervals is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
This gives
[tex]m = \frac{f(-3) - f(2)}{-3 -2}[/tex]
Substitute known values
[tex]m = \frac{-5- 0}{-3 -2}[/tex]
Simplify
[tex]m = \frac{-5}{-5}\\\\[/tex]
[tex]m =1[/tex]
Hence, the average rate of change is 1
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