What is the average rate of change of the function on the interval from x = 0 to x = 5 f(x)=
1/2(3)x

What is the average rate of change of the function on the interval from x = 0 to x = 5 ; f(x)= 1\2 (3)^x

Average rate of change of the function on the interval from x = 0 to x = 5 is 24.2

Solution:

Given function is:

We have to find the average rate of change of function from x = 0 to x = 5

The formula for average rate of change can be expressed as follows:

So for rate of change of function from x = 0 to x = 5 is:

Let us find f(0) and f(5)

To find f(0), substitute x = 0 in f(x)

To find f(5), substitute x = 5 in f(x)

Therefore,

Therefore average rate of change of the function on the interval from x = 0 to x = 5 is 24.2

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