The average rate of change of f(x) is given by the formula f(7)-f(3)/4 . Over what interval does this formula give the average rate of change for f(x)? The answer choices are A. [4,7] B. [-7,3] C. [3,7] D. [3,4]

Alan Sherman

Alan Sherman

Answered question

2022-09-18

The average rate of change of f(x) is given by the formula f(7)-f(3)/4 . Over what interval does this formula give the average rate of change for f(x)?
The answer choices are
A. [4,7]
B. [-7,3]
C. [3,7]
D. [3,4]

Answer & Explanation

anekesanxl

anekesanxl

Beginner2022-09-19Added 12 answers

Step-by-step explanation:
Average rate of change(A(x)) of f(x) over an interval [a, b] is given by:
A ( x ) = f ( b ) f ( a ) b a
As per the statement:
The average rate of change of f(x) is given by the formula:
A ( x ) = f ( 7 ) f ( 3 ) 4
we can write this as:
A ( x ) = f ( 7 ) f ( 3 ) 7 3
By definition, we have
b = 7 and a = 3
interval = [3, 7]
Therefore, the interval does this formula give the average rate of change for f(x) is, [3,7]

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?