Plot mathematical functions on a coordinate plane with zoom, multiple functions, and intersection finding.
Enter a function in x and this tool draws its curve on a Cartesian plane, with several functions plotted together in different colors and an intersection finder that reports the coordinates where selected curves cross. Zoom and pan change the visible window, so you can inspect a crossing or an asymptote at any scale. The surprise that trips most users: the curve is drawn through the whole window, including points where the function is undefined, so at a vertical asymptote such as tan(x) near pi/2 the plot appears to run straight through a gap. Those strokes are artifacts; only the curve segments between them represent the function.
A concrete input and expected output from the current implementation.
Input
x and x^2, entered as two separate functions
Expected output
The plane shows a 45-degree line through the origin and an upward-opening parabola through (0, 0). The intersection finder reports two points where the curves meet: (0, 0) and (1, 1).
Solving x = x^2 for the common points gives x = 0 or x = 1, and at each of these the two functions share the same y-value. A line and a parabola can cross at most twice, which is why exactly two intersections are reported.
Each function is an expression in x typed into an entry field; the tool evaluates it across the current window and draws the curve. Add several expressions to overlay them, each in its own color, for direct comparison. The starting window matters: if the interesting region of your function lies far outside it, you get an empty or near-flat plot until you pan or zoom.
Zoom in to magnify a region, zoom out to see global behavior; curves redraw at every scale. To find where two functions meet, select a pair and run the intersection finder: it solves f(x) = g(x) and lists each crossing with coordinates. An intersection outside the current window may go unreported, so zoom out until both curves are in view before trusting a 'no intersection' result.
Accepted notation varies from plotter to plotter, so this tool's help text is the authority. Caret notation (x^2) and standard function names such as sin, cos, sqrt and log are the common convention. If an expression draws nothing or errors, simplify it and add operators one at a time to isolate the unsupported part.
That is an asymptote. At points where the function is undefined, such as tan(x) at pi/2, 1/x at 0, or log(x) at 0, the plotted curve is drawn across the gap anyway, producing a near-vertical stroke. The stroke is not part of the graph; zoom in to see the two branches separate cleanly on either side of the gap.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
Interactive periodic table - click elements, enter quiz mode, and guess elements from their properties. Gamified learning.
Explore the periodic table with element details, properties, and category filtering.
Browse and search ASCII, Unicode, and binary character codes with copy-to-clipboard.
Test your knowledge of semantic HTML elements with quizzes and best-practice tips.
Structured typing lessons with finger placement guide. Track WPM improvement over time with localStorage persistence.
Timed multiplication drills with accuracy tracking per table (1-12). Progress chart saved across sessions.