Question

Giving 40 points to people whom will answer this correctly.

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.

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.

Answer 1

Part a)
section Afavg=4(2)2−4(2)12−1=8 section B  favg=4(2)4−4(2)34−3=32
Part b)
The rate of change is greater between x = 3 and x = 4 than between x = 2 and x =1  because an exponential function's rate of change is increasing, unlike a linear function which has a  a constant rate of change