Mathematics · graphing

Graphing Calculator

Plot any function, drag to pan, scroll or pinch to zoom — up to eight curves at once.
y = f(x)
3 functions plotted

Functions

3 / 8

Presets

Trace

hover the graph
drag to pan · scroll to zoom
Field notes

Reading a graph correctly

Using this tool

A calculator that draws the answer

Type an expression in terms of x and it's plotted immediately — no y= needed, though it's accepted and stripped if you type it. The parser is a small hand-written recursive-descent evaluator (no eval involved), so 2x, 2*x and x*2 all mean exactly the same thing, and unsupported input is rejected rather than silently misread.

Worked example

Plotting 1/x shows two separate branches meeting nowhere near x = 0 — because division by zero is undefined, not infinite in a drawable sense, the curve correctly breaks into two pieces instead of joining with a vertical line.

What functions can I type?

Standard notation: +, -, *, /, ^ for powers, and parentheses. sin, cos, tan, asin, acos, atan, sqrt, cbrt, abs, ln, log, log2, exp, floor, ceil, round and sign all work, along with the constants pi and e. Implicit multiplication works too — 2x, 2sin(x) and (x+1)(x-1) are all understood without a * sign.

Why does the curve stop at a vertical asymptote instead of drawing a vertical line?

A vertical line at an asymptote like x=0 for 1/x isn't actually part of the function's graph — the function is undefined there, not infinite in a way that draws a line. This tool detects the jump and breaks the curve into separate pieces, the same way a correct hand-drawn sketch would.

Does zooming keep circles looking like circles?

Yes — the x and y axes always share the same scale (the same number of pixels per unit), so a function like sqrt(9-x^2) traces a genuine semicircle rather than a squashed ellipse, at every zoom level.

Can I plot more than one function at once?

Up to eight, each in its own colour, any of which can be hidden or deleted independently — useful for comparing a function against its derivative, or seeing where two curves intersect.