By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
the rate at which one variable of a function changes in relationship to another variable is called average rate of change.
Here we can see in graph that
when x =1 y=12
and when x= 3 ,y=108
Now we know that rate of change is same as slope of straight line passing through that points
So average rate of change can be calculated as
[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{108-12}{3-1}\\\\[/tex]
[tex]\frac{96}{2}[/tex]
=48
By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
To learn more about rate of change visit :https://brainly.com/question/8728504
