Question

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



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Answer 1

The average rate of change of function is 72.

SOLUTION:

Given that, we have to find the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4  

Use the slope formula to find the average rate of change:  

$\begin{array}{l}{m=\frac{y 2-y 1}{x 2-x 1}} \\\\ {m=\frac{f(4)-f(2)}{4-2}} \\\\ {m=\frac{f(4)-f(2)}{2}}\end{array}$

To simplify this, we need to find values of f ( 4 ) and f ( 2 ) :  

$\begin{array}{l}{f(4)=2 x(3)^{4}=2(81)=162} \\\\ {f(2)=2(3)^{2}=2(9)=18} \\\\ {m=\frac{162-18}{2}} \\\\ {m=\frac{144}{2}} \\\\ {m=72}\end{array}$

Answer 2

Answer:

72

Step-by-step explanation:

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