Question

What is the average rate of change of the function f(x)=2(3)^x from x = 2 to x = 4?

Answer 1

Average rate of change over an interval \([a,b]\) is given by the difference quotient \(\dfrac{f(b)-f(a)}{b-a}\).

So what's the value of \(\dfrac{2\times3^4-2\times3^2}{4-2}\) ?