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Suppose f(x) = abx is an exponential GROWTH function. Which function, then, represents exponential DECAY?

User Deepish
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1 Answer

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The growth function given is f(x) = a*(b)^x

=> a is positive and b is greater than 0.

Then, a decay function is a*(b) ^(-x).

To see that you can two functions for a = 1 and b=2.

This table may help you

x 2^x 2^-x

-10 0.00098 1024

-5 0.03125 32

0 1 1

5 32 0.03125

10 1024 0.00098

As you see 2^x grows exponentially and 2^-x decays exponentially.

Answer: a decay function is a*b^(-x)

User Shooting Stars
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