We have the following:
The rate of change is the same as the slope.
The slope can be calculated as follows
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
for x = 1 and x = 2
[tex]m=\frac{4-2}{2-1}=\frac{2}{1}=2[/tex]
Therefore the rate of change is 2
for x = 2 and x = 3
[tex]m=\frac{8-4}{3-2}=\frac{4}{1}=4[/tex]
Therefore the rate of change is 4
for x = 3 and x = 4
[tex]m=\frac{16-8}{4-3}=\frac{8}{1}=8[/tex]
Therefore the rate of change is 8
