Question

Let g(x)=x2-1. what is the average rate of change of the function form x=3 to x=6

Answer 1

9

Explanation:

For the function g(x) = x^2 - 1, we can calculate the function values at x=3 and x=6, and then find the difference and divide by the length of the interval (6 - 3).

g(3) = 3^2 - 1 = 9 - 1 = 8

g(6) = 6^2 - 1 = 36 - 1 = 35

The difference in function values is g(6) - g(3) = 35 - 8 = 27.

The length of the interval is 6 - 3 = 3.

So, the average rate of change of g(x) from x=3 to x=6 is 27 / 3 = 9.