Using it's formula, it is found that the average rate of change of the function in the interval is of 73.
What is the average rate of change of a function?
It is given by the change in the output divided by the change in the input, hence, considering a function f(x) in an interval [a,b], it is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
In this problem, we have the function g(x) = 8x² - 7x + 2 in the interval [3,7], hence:
g(7) = 8(7)² - 7(7) + 2 = 345
g(3) = 8(3)² - 7(3) + 2 = 53
Then:
[tex]r = \frac{345 - 53}{7 - 3} = 73[/tex]
The average rate of change of the function in the interval is of 73.
More can be learned about the average rate of change at https://brainly.com/question/7501987
