Question

Given the graph of the function f(x) below, find the average rate of change of f(x) from x=2 to x=5

Answer 1

The formula to calculate the average rate of change is given to be:

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

For x = 2 and x = 5, the parameters of the function to solve with are given to be:

`\begin{gathered} a=2 \\ b=5 \\ f(a)=6 \\ f(b)=21 \end{gathered}`

Therefore, the average rate of change is calculated to be:

`\begin{gathered} AROC=(21-6)/(5-2)=(15)/(3) \\ AROC=5 \end{gathered}`

The average rate of change is 5.