# 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]

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)?
A. [4,7]
B. [-7,3]
C. [3,7]
D. [3,4]
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anekesanxl
Step-by-step explanation:
Average rate of change(A(x)) of f(x) over an interval [a, b] is given by:
$A\left(x\right)=\frac{f\left(b\right)-f\left(a\right)}{b-a}$
As per the statement:
The average rate of change of f(x) is given by the formula:
$A\left(x\right)=\frac{f\left(7\right)-f\left(3\right)}{4}$
we can write this as:
$A\left(x\right)=\frac{f\left(7\right)-f\left(3\right)}{7-3}$
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]