Answered

Let f(x)=logx .

What is the average rate of change of f(x) from 3 to 5?

Round to the nearest hundredth.




​​0.11

0.12

0.25

0.26

Answer :

carlosego

Answer: 0.11


Step-by-step explanation:

1. You have the following function given in the problem above:

[tex]f(x)=logx[/tex]

2. Then, to calculate the average rate of change from 3 to 5, you must apply the following formula:

[tex]AverageRateOfChange=\frac{y_{2}-y_{1}}{x_{2}-y_{1}}[/tex]

3. Where:

[tex]y_{2}=log(5)\\y_{1}=log(3)\\x_{2}=5\\x_{1}=3[/tex]

4. Substitute values into the formula:

[tex]=\frac{log(5)-log(3)}{5-3}=0.11[/tex]

5. The result is 0.11

Answer: 0.11

Just took the test, this is the correct answer! :)

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