Question

What is the average rate of change for the function f(x)=3^x-9 9 less than or equal to x less than or equal to 11

Answer 1

The average rate of change of a function
`f(x)` in the interval
`[a,b]` is defined as

`A(a,b,f) = (f(b)-f(a))/(b-a)`

So, in your case, we have

`A(9,11,3^x-9) = ((3^(11)-9)-(3^9-9))/(11-9) = (3^(11)-3^9-9+9)/(2) = (157464)/(2)=78732`