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)?

Answer 1

The answer would be 4

Answer 2

Answer:

The interval over which this formula give the average rate of change for f(x) is:

                                      [3,7]

Step-by-step explanation:

We know that when we are asked to find the average rate of change of the function f(x) over the interval [a,b] then the formula for the average rate of change is given by:

$\text{Rate\ of\ change}=\dfrac{f(b)-f(a)}{b-a}$

Here we have:

a=3 and b=7

Hence, the average rate of change is:

$\text{Rate\ of\ change}=\dfrac{f(7)-f(3)}{7-3}$

i.e.

$\text{Rate\ of\ change}=\dfrac{f(7)-f(3)}{4}$

                  Hence, the interval is: [3,7]