Question

Which expression can be used to determine the average rate of change in f(x) over the interval mc001-1.jpg

A f(9 – 2)

B f(9) – f(2)
C f(9-2) / 9-2
D f(9) - f(2) / 9 - 2

Answer 1

The average rate of change of a function f(x) over an interval (a, b) is given by

`(f(b)-f(a))/(b-a)`

Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression

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