the average rate of change in section A is the slope from (1,g(1)) to (2,g(2)) the average rate of chagne in section B is the slope from (3,g(3)) to (4,g(4))
A.
section A g(1)=4(3)^1=12 g(2)=4(3)^2=4(9)=36 slope=(36-12)/(2-1)=24/1=24
section B g(3)=4(3)^3=4(27)=108 g(4)=4(3)^4=4(81)=324 slope=(324-108)/(4-3)=216/1=216
section A has an average rate of change of 24 section B has an average rate of change of 216