 # How do we distinguish between exponential growth and exponential decay Anika Klein 2022-01-31 Answered
How do we distinguish between exponential growth and exponential decay functions?
You can still ask an expert for help

## Want to know more about Exponential growth and decay?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it gekraamdbk
For the given problem, we have to distinguish between exponential growth and exponential decay functions.
To distinguish between the given two functions, we will consider the general form of an exponential function which is:
$y\left(t\right)=a×{e}^{kt}$
Where:
y(t) defines the value at time t. The staring or initial value is a and the rate of growth is k. Depending on the sign of rate of growth, we consider that the function is exponential growth or exponential decay.
If k > 0 then the function is exponential growth function.
If k < 0 then the function is exponential decay function.