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Vlad [161]
2 years ago
13

I need help please! i dont know!

Mathematics
2 answers:
zvonat [6]2 years ago
7 0
There is 12.5% you can do we it
Kaylis [27]2 years ago
4 0

Answer:

there is a 12.5% increase

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Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?
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Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

y=2^x\\\ln(y)=x \ln(2)

Implicitly differentiate the left side and take the derivative of the right side

\frac{y'}{y} =\ln(2)

Multiply both sides by 'y' which was defined as 2^x

y'=\ln(2)*2^x

Plug in x = 2 and x = 3 to see which slope is larger

y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)

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