Question

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 1

the answer is c

Explanation:

Answer 2

Option C is correct

[3,7]

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]