Find the average rate of change of the quadratic function f(x) over the interval -2 ≤ π ≤. Use the following table, which shows the values of the function for various values of x.
x -3, -2, 2, 3, 4
f(x) 60, 25, -15, 0, 25
a. 7
b. -7
c. 5
d. -5
To find the average rate of change over the interval -2 ≤ x ≤ π, we need to first find the change in the function values and the change in x over the interval.
f(-2) = 25
f(π) = 0
Change in f(x) = 0 - 25 = -25
Change in x = π - (-2) = π + 2
Average rate of change = Change in f(x) / Change in x
Average rate of change = -25 / (π + 2)
Therefore, the average rate of change of the quadratic function f(x) over the interval -2 ≤ π ≤ is d. -5.