Answered

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]

Verified Answer :

MRSTEALURTACO

Answer:

the answer is c


Step-by-step explanation:

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:

\(A(x) = \frac{f(b)-f(a)}{b-a}\)

As per the statement:

The average rate of change of f(x) is given by the formula:

\(A(x) = \frac{f(7)-f(3)}{4}\)

we can write this as:

\(A(x) = \frac{f(7)-f(3)}{7-3}\)

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]

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