An exponential function is a mathematical function of the form:
[tex]f(x)=a^x[/tex]Where a > 0 and x is a Real Number.
To tell from the equation if is a exponential growth, we need to look at the sign of x:
Exponential growth:
If x > 0
Exponential decay:
If x < 0
Now an example of exponential growth could be:
[tex]a^3[/tex]And an example of exponential decay could be:
[tex]a^{-3}[/tex]