Calculate the average rate of change over the interval [2,4] given the function table for f(x)=−x2 12 . x f(x) 1 11 2 8 3 3 4 −4 (1 point) Responses
−6 negative
- 2 negative
2
6
To calculate the average rate of change over the interval [2,4], we need to find the difference in f(x) values at the endpoints of the interval (4 and 2), and divide it by the difference in x values (4 and 2).
f(4) = -4
f(2) = 8
The difference in f(x) values is -4 - 8 = -12
The difference in x values is 4 - 2 = 2
Average rate of change = (-12) / 2 = -6
Therefore, the average rate of change over the interval [2,4] is -6.