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blsea [12.9K]
2 years ago
12

This table shows values represented by an exponential function x= 0,1,2,3,4,5,6 y=1,3,9,27,64,125,216 what is the average rate o

f change for this function for the interval from x=2 to x=4?
Mathematics
1 answer:
juin [17]2 years ago
7 0

27.5 is the answer

For this case we know that the average rate of change of a function is given by this general expression:

m = f(b) - f(a)/ b-a

For this special case from the info in the table we have:

a =2 , f(2) = 9

a =4 , f(4) = 64

And replacing the data with the average rate formula we got:

m = 64 - 9/4 - 2 = 27.5

And then the best answer for this case would be:

27.5

The exponential function is a mathematical function represented by f (x) = \ exp or e ^ {x}. Unless otherwise specified, the term generally refers to a function of a positive value of a real variable, but it can also be extended to complex numbers or generalized to other mathematical objects such as matrices and Lie algebras.

Learn more about exponential function here:brainly.com/question/2456547

#SPJ4

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Looks like the system is

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Answer:

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Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

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<u />

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If the thickness of the paper, g(n)=384,472,300,000 mm

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