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.