Question

What is the average rate of change of g over the interval [−3,1]?

a) g(1)−g(−3)/4
b) g(−3)−g(1)/4
c) g(1)+g(−3)/2
d) g(−3)+g(1)/2

Answer 1

The average rate of change of the function g over the interval [-3,1] is calculated as (g(1) - g(-3)) / 4, which is option (a).

Step-by-step explanation:

The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints of the interval and then dividing by the length of the interval. For a function g, the average rate of change over the interval [−3,1] is calculated as follows:

(g(1) - g(−3)) / (1 - (−3))

This simplifies to (g(1) - g(−3)) / 4, which corresponds to option (a).