Question

Which expression can be used to determine the average rate of change in f(x) over the interval [2,9] ?

Answer 1

The required expression which determines the average rate of change in the given function f(x) is given by :

`\bf f'(x)=(f(9)-f(2))/(7)`

Explanation:

The function is given to f(x)

The interval is given to be [2,9]

Let a = 2 and b = 9

The expression which is used to determine the average rate of change in f(x) is given by :

`f'(x)=(f(b)-f(a))/(b-a)`

Hence, The required expression which determines the average rate of change in the given function f(x) is given by :

`f'(x)=(f(9)-f(2))/(9-2)\\\\\implies\bf f'(x)=(f(9)-f(2))/(7)`