<h3><u>Question:</u></h3>
Find the average rate of change of f(x) = 3(2)^x between x = 1 and x = 4
<h3><u>Answer:</u></h3>
The average rate of change is 14
<h3><u>Solution:</u></h3>
The rate of change is given by formula:
Here the given interval is x = 1 and x = 4
Therefore, the formula becomes,
Let us find f(4) and f(1)
Given function is:
Substitute x = 4 in function
Thus f(4) = 48
Substitute x = 1 in function
Now substitute the values back into formula
Thus average rate of change is 14