Find the average rate of change of the quadratic function over the interval . Use the following table, which shows the values of the function for various values of x. x 2 3 4 60 25 0 25 (1 point) Responses 7 7 Image with alt text: negative 7 5 5
To find the average rate of change of the quadratic function over the interval, we can use the formula:
Average Rate of Change = (f(b) - f(a)) / (b - a)
where f(b) is the value of the function at point b, f(a) is the value of the function at point a, and b-a is the difference between the two points.
In this case, let's choose points x=2 and x=4:
Average Rate of Change = (f(4) - f(2)) / (4 - 2)
Average Rate of Change = (0 - 60) / 2
Average Rate of Change = (-60) / 2
Average Rate of Change = -30
Therefore, the average rate of change of the quadratic function over the interval from x=2 to x=4 is -30.