Given the function g(x) = 6x, section a is from x = 1 to x = 2 and section b is from x = 3 to x = 4. part a: find the average rate of change of each section. part b: how many times greater is the average rate of change of section b than section a? explain why one rate of change is greater than the other.

Part a: - section a average is 9- section b average is 21- both have the average rate of 6, though. this is because the slope of g(x) is 6part b: - between the averages, it is 21/9. one average may be higher than the other due to the fact that one has a higher value of g(x) than the other- the rate is equal due to the fact of the similar slope of g(x)