Given the function h(x) = 4x, 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)

Answer with explanation:

The average rate of change in a function f(x) from x=a to x=b is given by :-

For Section A .

The average rate of change in a function h(x)=4x from x=0 to x=1 is given by :-

For section B .

The average rate of change in a function h(x)=4x from x=2 to x=3 is given by :-

The average rate of section A is same for section B because the function is a linear function, and the rate of change of a linear function is constant.