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