Question

Find the average rate of change of

g(2)= (824/8.24) on the interval [−2,1].

a) 1/2
b) 1/4
c) 1/8
d) 1/16

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Answer 1

The average rate of change of the given function on the interval [-2, 1] is d) 1/16 b

Step-by-step explanation:

To find the average rate of change of a function on an interval, we need to calculate the difference between the function values at the endpoints of the interval and divide it by the difference in the x-values of those endpoints. In this case, the function is g(x) = 824/8.24 and the interval is [-2, 1].

To find the rate of change at the endpoints, we substitute the x-values into the function:

• At x = -2, g(-2) = (824/8.24) = 100.
• At x = 1, g(1) = (824/8.24) = 100.

The difference in function values is 100 - 100 = 0, and the difference in x-values is 1 - (-2) = 3. Therefore, the average rate of change is 0/3 = 0.

So, the correct answer is d) 1/16 because the average rate of change is 0.