Answer:
The value of f(3)=12.4
Step-by-step explanation:
Average rate of change = 3.4
Interval: -2 < x < 3
f(-2) = 9
We need to find f(3)
The formula used to calculate Average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
here we have a=-2 and b=3
Now finding f(3)
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]
So, The value of f(3)=12.4
