The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.
Step-by-step explanation: Â We are given to find the rate of change from
x = 1 to x = 2,  x = 2 to x = 3  and  x = 3 to x = 4.
We know that
The average rate of change between x = a to x = b for a function f(x) is given by
For the given function f(x), we have from the graph that
f(1) = 2,  f(2) = 4,  f(3) = 8  and  f(4) = 16.
So, the average rate of change from x = 1 to x = 2 is given by
The average rate of change from x = 2 to x = 3 is given by
The average rate of change from x = 3 to x = 4 is given by
Thus, the average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.