Answer:
The average rate of change of f(x) is 2
A is correct
Step-by-step explanation:
Given: The graph of f(x).
To find: Average rate of change of f(x) in interval [0,2]
Formula:
[tex]\text{Average rate }=\dfrac{f(b)-f(a)}{b-a}[/tex]
Using graph, we find f(0) and f(2)
a = 0 , b= 2
f(0) = 4
f(2) = 8
[tex]\text{Average rate } = \dfrac{f(2)-f(0)}{2-0}[/tex]
[tex]\text{Average rate } = \dfrac{8-4}{2-0}[/tex]
[tex]= 2[/tex]
Hence, The average rate of change of f(x) is 2
