How do you determine if an exponential formula is growth or decay?

Answer 1

To determine if an exponential formula represents growth or decay, examine the value of the base (denoted as "b") in the formula.

If the base (b) is greater than 1, the exponential function represents growth.
If the base (b) is between 0 and 1, exclusive, the exponential function represents decay.

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Answer 2

Isaiah Anthony

#f(t)=Ce^{kt}# is an exponential #{("growth if " k>0),("decay if " k<0):}#.

I hope that this was helpful.

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Answer 3

Ethan Adkins

An exponential formula represents growth if the base (the number raised to a power) is greater than 1. It represents decay if the base is between 0 and 1, exclusive.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.