Question

The average rate of change of a quadratic function p is -4 on the interval 0a) True
b) False

Answer 1

The average rate of change of a quadratic function p is -4 on the interval 0a)

b) False

Step-by-step explanation: The average rate of change of a quadratic function p is -4 on the interval 0a)

its 1.5

Answer 2

The average rate of change of the quadratic function p is approximately -38.33, not -4, on the interval [0, 3].

Step-by-step explanation:

The average rate of change of a quadratic function is calculated by finding the difference in function values over the interval and dividing it by the difference in the independent variable values. In this case, the average rate of change of the quadratic function p is -4 on the interval [0, 3].

To calculate the average rate of change, we need to find the function values at the endpoints of the interval. Plugging in the values of 0 and 3 into the quadratic function p, we get p(0) = -20 and p(3) = 95. So, the average rate of change is (-20 - 95)/(0 - 3) = -115/(-3) = 115/3 ≈ -38.33.

Therefore, the statement is b) False because the average rate of change of the quadratic function p is approximately -38.33, not -4.