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Exponential Functions

Exponential Functions 1.6 - Solution

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Ron-Jon claims that has a growth factor of To determine what is wrong with this statement, let's look at the basic form of an exponential function. Recall that if and then the function represents exponential decay. In our given situation, we have and We can see that our value is greater than and less than Therefore, the function represents exponential decay. Ron-Jon claimed that the function has a growth factor of but we know that is actually the decay factor. Another way to show this is by graphing the function.

As we can see, the given function is decaying, not growing. Therefore, it is incorrect to say it has a growth factor.