The average rate of change of f(x) on the interval (3, 6) is 1.
How to get the average rate of change?
For a function f(x), the average rate of change on an interval (a, b) is:
R = (f(b) - f(a))/(b - a)
In this case, f(x) is the graphed function and the interval is (3, 6).
On the graph, we can see that:
f(6) = 1
f(3) = -2
Then the average rate of change is:
R = (f(6) - f(3))/(6 - 3) = (1 - (-2))/(3) = 3/3 = 1
The average rate of change of f(x) on the interval (3, 6) is 1.
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