Question

Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9? On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8). f(9 – 2) f(9) – f(2) StartFraction f (9 minus 2) Over 9 minus 2 EndFraction StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction

Answer 1

(D)
`(f(9)-f(2))/(9-2)`

Explanation:

To determine the average rate of change in f(x) over the interval [a,b], we use the formula:

`\text{Average rate of change}=(f(b)-f(a))/(b-a)`

Therefore, given a function f(x), the average rate of change in f(x) over the interval [2,9] is given as:

`\text{Average rate of change}=(f(9)-f(2))/(9-2)`

The correct option is D,