Answer:
The average rate of change in the given interval is 39
Step-by-step explanation:
we have
[tex]g(x)=3x^3+1[/tex]
we know that
To find the average rate of change, we divide the change in the output value by the change in the input value
the average rate of change is equal to
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
In this problem we have
[tex]a=1[/tex]
[tex]b=3[/tex]
[tex]g(a)=g(1)=3(1)^3+1=4[/tex]
[tex]g(b)=g(3)=3(3)^3+1=82[/tex]
Substitute
[tex]\frac{82-4}{3-1}=39[/tex]
