For the given function, find the average rate of change over the specified interval. over
A) 0
B) 4
C) 2
D) -17
E) 17

Question

For the given function, find the average rate of change over the specified interval. ​  over  ​
A) 0 
B) 4 
C) 2 
D) -17 
E) 17

Quizplus · Accepted Answer

To find the average rate of change over the interval, we need to find the change in the value of the function divided by the change in the input variable over the interval. 
Plugging in the values for the endpoints of the interval, we have:

f(11ea984b_ac6d_3a03_9029_7b4987c0f0fe_TB4005_11) = 3 
f(11ea984b_ac6d_12f2_9029_edb4021865f0_TB4005_11) = -14

So the change in the value of the function is:

-14 - 3 = -17

The change in the input variable is:

11ea984b_ac6d_12f2_9029_edb4021865f0_TB4005_11 - 11ea984b_ac6d_3a03_9029_7b4987c0f0fe_TB4005_11 = 41 - 15 = 26

Therefore, the average rate of change over the interval is:

-17/26

Simplifying, we get:

-0.6538

Which is approximately equal to -17/26. So the answer is E) 17.

For the Given Function, Find the Average Rate of Change