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

Question

asked Oct 16, 2023 197k views

1 Answer

Jeanj · Answer 1 · 2023-10-21T03:30:47+0000

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

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.