The square root of 80 can be broken up into the square root of 16 x square root of 5. We know that the square root of 16 is 4. So in the form (a sqrt b)
To solve this we are going to use the average rate of change formula: where is the average rate of change of the function is the position function evaluated at is the position function evaluated at is the first point in the interval is the second point in the interval
We can infer for our problem that the first point is 3 and the second point is 6, so and . Lets replace those values in our formula:
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>