Answer:
2
Step-by-step explanation:
The average rate of change of the function f(x) is
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
1. At [tex]a=1,[/tex]
[tex]f(1)=2\cdot 1-1=1[/tex]
2. At [tex]b=2,[/tex]
[tex]f(2)=2\cdot 2-1[/tex]
The average rate of change is
[tex]\dfrac{3-1}{2-1}=\dfrac{2}{1}=2[/tex]