MerrikJ541329 MerrikJ541329
  • 25-10-2022
  • Mathematics
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What is the average rate of change of the function f(x)=5(2)xfrom x = 1 to x = 5? Enter your answer in the box.

What is the average rate of change of the function fx52xfrom x 1 to x 5 Enter your answer in the box class=

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JataviousK347370 JataviousK347370
  • 25-10-2022

Solution:

Given:

[tex]\begin{gathered} f(x)=5(2)^x \\ \text{from x = 1 to x = 5} \end{gathered}[/tex]

The average rate of change of a function can be calculated by;

[tex]\begin{gathered} \text{Average rate of change=}\frac{f(b)-f(a)}{b-a} \\ \text{where a =1} \\ b=5 \end{gathered}[/tex]

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