Answer:
The rate of change is 7.
Step-by-step explanation:
Given function,
[tex]f(x)=2x^2-x+1-----(1)[/tex]
Since, the average rate of change of f(x) from x = 1 to 3,
[tex]m=\frac{f(3)-f(1)}{3-1}[/tex]
From equation (1),
[tex]m=\frac{[2(3)^2-3+1]-[2(1)^2-1+1]}{2}[/tex]
[tex]=\frac{(18-2)-(2)}{2}[/tex]
[tex]=\frac{16-2}{2}[/tex]
[tex]=\frac{14}{2}[/tex]
[tex]=7[/tex]
