Answer:
12
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 3, 6 ] , then
f(b) = f(6) = 6² + 3(6) + 2 = 36 + 18 + 2 = 56
f(a) = f(3) = 3² + 3(3) + 2 = 9 + 9 + 2 = 20 , then
average rate of change =
=
= 12
It is not linear. Check to see if the points fit in any of the equations. Use 3 for x and 1 for y. None of them work. You get false statements like 3=1.
The first choice is Square the second is 48