Given the function g(x) = 6(4)x, section a is from x = 0 to x = 1 and section b is from x = 2 to x = 3. part a: find the average rate of change of each section. (4 points) 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. (6 points)

how many times greater is B than A? well 288 ÷ 18 = 16, thus 16 times.

6(4)ˣ is an exponential function, the greater the value for x, the larger 4ˣ and the steeper or more straight-up the slope is.

for exponential functions, the jumps area greater than for other functions, because the variable is in the exponent, and the exponent makes the function jump by a factor of the base, the greater the base, the greater the jump.