Graph an Exponential Function
An exponential function y = bˣ (b > 1) passes through (0, 1), rises faster and faster to the right, and approaches the horizontal asymptote y = 0 on the left.
At a glance
| What it is | Graph exponential functions like y = 2ˣ and y = eˣ online. See the y-intercept (0, 1), the asymptote y = 0, growth and decay. Free. |
|---|---|
| Type | Interactive guide with a calculator |
| Level | High school and college |
| Price | Free, with no account or sign-up |
| Works offline | Yes, after the first visit; installs as an app |
| Made by | Aalok (aalok.builds@gmail.com) |
| Last updated | 1 November 2026 |
Key facts
| y-intercept | (0, 1) for every base b |
|---|---|
| Horizontal asymptote | y = 0 |
| Growth vs decay | Growth if b > 1; decay if 0 < b < 1 |
| Domain / range | All real numbers / y > 0 |
| Example: y = 2ˣ | Passes (−1, 0.5), (0, 1), (1, 2), (3, 8) |
What is the number e?
e ≈ 2.718 is the natural base. y = eˣ is the only exponential whose slope at every point equals its own height, which is why it appears in growth, interest and calculus.
How to use it in Plotline
- The graph of y = 2ˣ and y = eˣ is already loaded above. Edit the equation in the list to change it.
- Drag the graph to move around, scroll or pinch to zoom, and tap the crosshair to reset the view.
- Hover over or tap the curve to read the coordinates of any point.
- Press Enter to add another equation and compare graphs in different colors.
Frequently asked questions
What is the inverse of an exponential function?
The logarithm. y = log_b(x) is the mirror image of y = bˣ in the line y = x; for example ln(x) is the inverse of eˣ.
Is it free?
Yes. The graphing calculator is free with no account and no sign-up: plot as many equations as you like, use sliders, save graphs in your browser and share them by link. It installs as an app and keeps working offline.
Learn more
Related
- Logarithm – Graph y = ln(x) and y = log(x) online.
- Reciprocal function (1/x) – Graph y = 1/x online and see its two branches and asymptotes at x = 0 and y = 0.
- Parabola (quadratic) – Graph quadratic functions y = ax² + bx + c online.
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Plotline is an independent project and is not affiliated with Desmos, Texas Instruments or Casio.