Question

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`?

Answer 1

-2

Explanation:

An average rate of change is the total change over the total distance, i.e.

`(Delta y)/(Delta x) = (g(-4) - g(-8))/(-4 - -8) = (-1 - 7)/(4) = -2`