Respuesta :
Answer:
Option 1.
Step-by-step explanation:
The given function is
[tex]f(x)=2x^2-x+1[/tex]
We need to find the average rate of change of the function from x = 1 to x = 3.
At x=1,
[tex]f(1)=2(1)^2-(1)+1=2[/tex]
At x=3,
[tex]f(3)=2(3)^2-(3)+1=16[/tex]
The average change of a function f(x)on the interval [a,b] is
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
The average rate of change of the function from x = 1 to x = 3 is
[tex]m=\dfrac{f(3)-f(1)}{3-1}[/tex]
[tex]m=\dfrac{16-2}{2}[/tex]
[tex]m=\dfrac{14}{2}[/tex]
[tex]m=7[/tex]
The average rate of change of the function from x = 1 to x = 3. Therefore the correct option is 1.
