Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.

average= (f(2)-f(0))/2

To estimate the average rate of change of a function over an interval, we can use the formula:

Average rate of change = [f(b) - f(a)] / (b - a)

In this case, we need to find the average rate of change of the graphed function over the interval 0 ≤ x ≤ 2. Let's assume the function is denoted as f(x).

To estimate the average rate of change, we first need to find the value of f(2) and f(0), and then plug them into the formula along with the values of a and b.

Since we don't have the specific function graphed, we cannot determine the exact values of f(2) and f(0). So, without the function or additional information, it is not possible to estimate the average rate of change over the interval 0 ≤ x ≤ 2.

To estimate the average rate of change of a function over a given interval, you need to calculate the difference in the function values at the beginning and end of the interval, and then divide it by the difference in the x-values.

Since you mentioned a graphed function, I assume you have a graph or a visual representation of the function. You can follow these steps to estimate the average rate of change of the function over the interval 0 ≤ x ≤ 2:

1. Locate the point on the graph corresponding to x = 0.
2. Note the y-coordinate (function value) at this point.
3. Next, locate the point on the graph corresponding to x = 2.
4. Note the y-coordinate (function value) at this point as well.
5. Calculate the difference in the y-coordinates (function values) between these two points.
6. Calculate the difference in the x-coordinates (in this case, 2 - 0 = 2).
7. Divide the difference in the y-coordinates by the difference in the x-coordinates to obtain the average rate of change.

For example, let's say the y-coordinate (function value) at x = 0 is 3, and the y-coordinate at x = 2 is 9. The difference in the y-coordinates is 9 - 3 = 6. The difference in the x-coordinates is 2 - 0 = 2. Therefore, the average rate of change of the function over the interval 0 ≤ x ≤ 2 is 6/2 = 3.