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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Respuesta :

72

The key is "average rate of change". So just calculate the function for x=2 and x=4. Subtract the 2 calculated values to get the delta change, and then divide by the delta change in x. (4-2) = 2. So
f(2) = 2*3^2 = 2 * 9 = 18
f(4) = 2*3^4 = 2 * 81 = 162

And 162 - 18 = 144.

Finally, 144/2 = 72.

So the average rate of change from x=2 to x=4 is 72.

the average rate of change from x=2 to x=4 is 72.


hope this helps you(: