Answer:
1. 2
2. 4
3. 8
Step-by-step explanation:
The average rate of change can be calculated using formula:
[tex]\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
1. When [tex]x_1=1,\ x_2=2,[/tex] then the average rate of change is
[tex]\dfrac{f(2)-f(1)}{2-1}=\dfrac{4-2}{1}=2[/tex]
2. When [tex]x_1=2,\ x_2=3,[/tex] then the average rate of change is
[tex]\dfrac{f(3)-f(2)}{3-2}=\dfrac{8-4}{1}=4[/tex]
3. When [tex]x_1=3,\ x_2=4,[/tex] then the average rate of change is
[tex]\dfrac{f(4)-f(3)}{4-3}=\dfrac{16-8}{1}=8[/tex]
