Online Function Grapher · Calculus, Algebra & Equations
Plot function graphs live and explore them interactively with students.
Type in any f(x) formula, set your axis ranges, and immediately visualize the curve, roots, vertex, and asymptotes. Place the interactive plot right onto the collaborative whiteboard where you can write out LaTeX proofs beside it.
- 5 series types
- y = f(x), parametric, polar, implicit, and CSV scatter points.
- Analysis tab
- Zeros, extrema, derivative, integral, and asymptotes.
- PNG / SVG export
- Export the chart as vector SVG or save the entire board.
Online Function Grapher · Calculus, Algebra & Equations
Live Interactive Function Grapher
Select any sample formula, explore key points, and see how the graph reacts.
- Draw with the pen directly over coordinate axes, shade integral areas, and add arrows to key inflection points.
- Clicking any chart opens an inspection bar with zoom controls, pan, and real-time cursor coordinate readout.
Vertex W = (2, −1) (2, −1): Minimum of f(x) at p = −b/(2a) = 2, q = −Δ/(4a) = −1. The derivative f'(2) = 0.
Graph editor features
Two editor panels that make teaching functions effortless
Enter the formula, pick a series color, and set the X and Y axis ranges.
In the “Functions” tab you can plot one or several series on the same coordinate grid. Alongside standard y = f(x) functions, the editor supports parametric curves x(t), y(t), polar plots r(θ), and implicit equations F(x, y) = 0.
Set axis bounds manually (e.g. X from −1 to 5, Y from −2 to 5) or enable “Auto-scale”.
- Functions
- Explicit y = f(x), parametric, polar, and implicit formulas + axis bounds.
- Data
- Import (x, y) scatter points from CSV or clipboard plus linear regression.
- Analysis
- Derivative, integral & area, zeros, extrema, asymptotes, and reference lines.
- Presentation
- Title, axis labels and units, tick step, grid theme, and PNG / SVG export.
Frequently asked questions about the function grapher
What types of graphs can I plot on a Lucyboard board?
The chart editor supports five series types: explicit functions y = f(x), parametric curves x(t), y(t), polar plots r(θ), implicit equations F(x, y) = 0, and scatter data points pasted from CSV or a spreadsheet (with an optional linear regression line).
Does the plotter mark roots and the vertex of a parabola automatically?
Yes. In the “Analysis” tab you can toggle “Zeros”, “Extrema”, “Derivative”, “Integral & area”, and “Asymptotes” for each series. Key points and coordinates are then drawn directly on the plot.
Can I draw over the graph and place LaTeX formulas next to it?
Yes. A chart is a regular board object — you can place LaTeX equations, student sticky notes, and arrows right beside it, or draw directly over the coordinate grid with the pen and highlighter.
Can I export just the chart or the entire board with the worked solution?
Yes. Inside the chart editor you can download the chart alone as a PNG or vector SVG. You can also export the full board with the chart and notes to PNG on the free Basic plan, or to a multi-page PDF on the Pro plan.
Can I zoom into a specific region of the graph live on the board?
Yes. Selecting a chart on the board reveals an inspect toolbar with zoom in, zoom out, and reset view controls, plus live x and y coordinate readouts under the cursor.
Experience seamless math graphing in the browser
Launch a free board right now and test the interactive function plotter without installing anything.