Question

What is the average rate of change of the function on the interval from x = 0 to x = 5?

Answer 1

The average rate is 3^x/2

Answer 2

Answer:

Average rate of change = 24.2

Step-by-step explanation:

$f(x)=\frac{1}{2}3^x$

Average rate of change formula is on interval a to b is

$\frac{f(b)-f(a)}{b-a}$

Given interval is x=0 to x=5

a=0 and b=5

Average rate = $\frac{f(5)-f(0)}{5-0}$

$f(0)=\frac{1}{2}3^0=\fracc{1}{2}=0.5$

$f(5)=\frac{1}{2}3^5=\frac{3^5}(2}=121.5$

Average rate = $\frac{f(5)-f(0)}{5-0}$

Average rate = $\frac{121.5-0.5}{5}=24.2$

Average rate of change = 24.2