Answer:
11
Step-by-step explanation:
Here the function is g(x) = x^3- 2x - 5 and the interval of interest is [1, 3].
The average rate of change is
g(3) - g(1) 3^3 - 2(3) -5 - (1^3 - 2(1) - 5
------------------ = -----------------------------------------
3 - 1 2
Simplifying, we get:
27 - 6 - 5 - 1 + 2 + 5 16 - (-6)
ave. r. of change = ------------------------------ = ------------------- = 11
2 2
