What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
A. 4
B. 2
C. -4
D. -2

Answer:
Option B
Step-by-step explanation:
Average rate of change of a function between x = a and x = b will be,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.
From the given graph,
f(2) = 6
f(0) = 10
Therefore, average rate of change = [tex]\frac{f(2)-f(0)}{2-0}[/tex]
= [tex]\frac{10-6}{2-0}[/tex]
= 2
Option B will be the answer.