Given the function g(x) = 6^x, 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 in each section. part b: how many times greater is the average rate of change of section b than section a?

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

yes

step-by-step explanation: