Answer:
Option C is correct
[3,7]
Step-by-step explanation:
Average rate of change(A(x)) of f(x) over an interval [a, b] is given by:
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
As per the statement:
The average rate of change of f(x) is given by the formula:
[tex]A(x) = \frac{f(7)-f(3)}{4}[/tex]
we can write this as:
[tex]A(x) = \frac{f(7)-f(3)}{7-3}[/tex]
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]
