CoreProExp & Log Functions
Exponential
f(x) = a·bˣ
Overview
Exponential functions model growth (b > 1) or decay (0 < b < 1) at a constant percentage rate.
Domain
(-∞, +∞)
Range
(0, +∞)
Symmetry
Neither
Key Properties
1
b > 1 → exponential growth
2
0 < b < 1 → exponential decay
3
Horizontal asymptote: y = 0
4
Always positive (a > 0)
Key Insight
Doubling time: t = log(2)/log(b). Halving time for decay: t = log(0.5)/log(b).
Visualize Exponential
Interact with the graph, adjust parameters, and see how the function behaves in real time.