# Given the function g(x) = x^2+10x+23, what is the average rate of change of the function over the interval -8<=x<=-4?

$\frac{\Delta y}{\Delta x} = \frac{g \left(- 4\right) - g \left(- 8\right)}{- 4 - - 8} = \frac{- 1 - 7}{4} = - 2$