The function y, equals, f, of, y=f(x) is graphed below. What is the average rate of change of the function f, of, f(x) on the interval 2≤x≤6?
To calculate the average rate of change of the function f(x) on the interval [2, 6], we first need to find the change in y-values and the change in x-values over that interval.
Let's denote the function as y = f(x), and let's say that f(2) = y1 and f(6) = y2.
Therefore, the change in y-values over the interval [2, 6] is y2 - y1. The change in x-values is 6 - 2 = 4.
The average rate of change of the function f(x) on the interval [2, 6] is given by:
Average rate of change = (change in y-values) / (change in x-values) = (y2 - y1) / (6 - 2)
Now, we need the specific values to calculate the average rate of change. You can refer to the graph of y = f(x) to find the values of f(2) and f(6), and then substitute those into the formula above to find the average rate of change.