Graphical Calculator

The Graphical Calculator plots explicit, parametric, polar, and implicit functions in a single view. It accepts multiple expressions, domain bounds, and numeric density to produce a coherent visualization for analysis. It enables quick assessment of relationships between curves and their intersections, and provides numerical outputs alongside the rendered graphs. The tool operates entirely in the browser, preserving privacy and reducing external dependencies.

Conceptually, it parses inputs using a safe grammar, samples coordinates over specified domains, and renders curves by connecting computed points. Parametric forms compute x(t), y(t); polar forms convert r(θ) to Cartesian coordinates; implicit forms approximate contours via grid sampling. Intersections, extrema, and rough integral estimates are derived numerically, aiding interpretation without symbolic solving. The combination of forms supports learning, verification, and quick prototyping in mathematical workflows.

Unique value lies in multi-form plotting with robust handling of undefined values, a broad set of input forms, and browser-based execution that keeps data local. The tool is well-suited for students validating homework, instructors preparing demonstrations, and professionals who need rapid visual checks during model development or coursework.