Answer :
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:
[tex]\text{Rate\ of\ change}=\dfrac{f(b)-f(a)}{b-a}[/tex]
Here we have:
a=3 and b=7
Hence, the average rate of change is:
[tex]\text{Rate\ of\ change}=\dfrac{f(7)-f(3)}{7-3}[/tex]
i.e.
[tex]\text{Rate\ of\ change}=\dfrac{f(7)-f(3)}{4}[/tex]
Hence, the interval is: [3,7]