Quiz
Sign In
Recall the properties of the natural base exponential function.
Exponential decay
To determine whether the given function represents exponential growth or exponential decay, let's recall two properties of the natural base exponential function, y= ae^(rx).
| y=ae^(rx) | |
|---|---|
| a>0 and r>0 | a>0 and r<0 |
| Exponential growth function | Exponential decay function |
Let's now consider the given function. y= 5e^(- 2x) Since a= 5 is greater than zero and r= - 2 is less than zero, the function is an exponential decay function.