Question

How to find the average rate of change for f(x)=2^x;[2,4]​

Answer 1

Answer:

6

Step-by-step explanation:

The average rate of change over the interval $[a,b]$ for a function $f$ is $\frac{f(b)-f(a)}{b-a}$.

So the average rate of change for $f(x)=2^x$ on $[2,4]$ is:

$\frac{2^4-2^2}{4-2}=\frac{16-4}{2}=\frac{12}{2}=6$.