Question

Without graphing, how can you determine if a function is an exponential growth or exponential decay function?

Answer 1

http://www.regentsprep.org/Regents/math/ALGEBRA/AE7/ExpDecayL.htm

Answer 2

With the derivative of the function or calculating values,
\[f(x+\delta)-f(x)<0\Rightarrow \text{Decay}\\
f(x+\delta)-f(x)>0\Rightarrow \text{Grow}\]
With \[\delta>0\]