Question

Calculate the average rate of change over the interval [2,4] given the function table for f(x)=−x2+12 .

This table shows the values of the function f(x) for given values of x.
x f(x)
1 11
2 8
3 3
4 −4 (1 point)
Responses

6
6

−2
negative 2

−6
negative 6

2
2

Answer 1

Average rate of change = [f(4) − f(2)] / (4 − 2) = (−4 − 8) / 2 = −12 / 2 = −6.

So the average rate of change on [2,4] is −6.