To determine the net change between the indicated points on a graph, you need to look at the values of the function at those specific points. The net change is essentially the difference between the function’s value at the endpoint and its value at the start point.
For example, if your graph indicates points A and B, and the value at point A is 4 and the value at point B is 10, the net change would be calculated as:
Net Change = f(B) – f(A) = 10 – 4 = 6
This means there has been a net increase of 6 units between the two points.
To find the average rate of change between the same points, you would use the formula:
Average Rate of Change = (f(B) – f(A)) / (B – A)
This formula gives you the rate at which the function changes on average over the interval from A to B. Using the previous example, if the x-values for points A and B are 1 and 3 respectively, you would calculate it as:
Average Rate of Change = (10 – 4) / (3 – 1) = 6 / 2 = 3
This indicates that, on average, the function increases by 3 units for each unit of x between points A and B.