Graphing Calculator

The Graphing Calculator analyzes expressions in x, producing a numeric y=f(x) and a plotted data series across a user-specified range. It accepts standard math syntax and a library of functions, returning a sequence of (x,y) points suitable for charting or numerical analysis. It supports multiple expressions to overlay plots and compare behavior across functions. Common use cases include teaching function behavior, verifying model equations, and quick exploratory analysis. It is designed to require no software installation and to integrate easily with downstream analysis pipelines.

Conceptually, the tool tokenizes the input, validates the expression, and builds an evaluable representation. It samples x across the defined interval with a chosen density, computes y for each x, and records valid points while gracefully handling domain errors or singularities. When y_min/y_max are not provided, it auto-scales based on the data; it can also compute simple metrics like min, max, and zero crossings. The data can be exported as JSON or CSV by the platform, enabling reuse in graphs, reports, or simulations.

Audience and differentiators: students, educators, engineers, and researchers benefit from fast iteration and reproducible results. Unique value lies in robust expression parsing, safe evaluation, multiple function overlays, and output-ready data structures designed for programmatic use. It focuses strictly on math and data generation, avoiding UI considerations, and provides precise control over sampling density and range. Use cases span homework checks, prototype validation, and numerical experimentation across physics, statistics, and engineering.