The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 2≤x≤6?
To find the average rate of change of a function on an interval, we calculate the change in the function's values over the interval and divide by the length of the interval.
In this case, the function is graphed so we can see that f(2) = 3 and f(6) = 9.
The change in the function's values over the interval is f(6) - f(2) = 9 - 3 = 6.
The length of the interval is 6 - 2 = 4.
Therefore, the average rate of change of the function f(x) on the interval 2≤x≤6 is:
Average rate of change = (f(6) - f(2)) / (6 - 2) = 6 / 4 = 1.5.
So the average rate of change of the function f(x) on the interval 2≤x≤6 is 1.5.