Graphing Calculator - Limbu Numerals

Plot and visualize mathematical functions with our interactive graphing calculator with Limbu numeral system support.

A free online graphing calculator for visualising mathematical functions. Plot up to 6 functions simultaneously with different colours to compare their shapes, find intersection points, and identify roots. Supports polynomials, trigonometric functions (sin, cos, tan), exponential and logarithmic functions, and any combination thereof. Zoom and pan controls let you explore the graph at any scale, from a broad overview to a close-up of a specific intersection point. Use standard mathematical notation: * for multiply, ^ for exponents, sqrt() for roots, sin() for trig functions.

About This Numeral System

Limbu numerals (᥆ through ᥏) are the digits of the Limbu script (also called Sirijanga), used for the Limbu language — a Tibeto-Burman language spoken by roughly 400,000 people, primarily in eastern Nepal and the Indian state of Sikkim. The Limbu script is attributed to the Buddhist teacher Sirijanga in the early 18th century and was added to Unicode in 2003. This calculator displays results in Limbu numerals for users who study or work with the Limbu language and script.

How This Calculator Works

Function Plotting: y = f(x), evaluated at sampled x values

The graphing calculator samples the input function at regular intervals across the visible x-range, computes y = f(x) at each point, and plots the resulting coordinate pairs. Intersection points are found by detecting sign changes in f(x) − g(x) between adjacent samples and refining with bisection.

Worked Examples

Input: Plot y = x² and y = 2x on the same graph

Result: Intersection points: (0, 0) and (2, 4). The parabola opens upward; the line crosses it at the origin and at x = 2.

Frequently Asked Questions

What functions can I plot?

You can plot any standard mathematical function including polynomials, trigonometric functions (sin, cos, tan), exponential and logarithmic functions, and combinations thereof.

Can I plot multiple functions at the same time?

Yes. You can plot up to 6 functions simultaneously with different colours to compare their shapes and intersections.

How do I find intersection points or roots?

Plot the functions you want to analyze. Intersection points appear where graphs cross, and roots (x-intercepts) appear where the function crosses the x-axis. Use the zoom and pan features to get precise visual readings of these points.

What is the syntax for entering functions?

Use standard mathematical notation: * for multiplication, / for division, ^ for exponents, sqrt() for square roots, sin(), cos(), tan() for trig functions, log() for base-10 logarithm, and ln() for natural logarithm. Use parentheses to group expressions, e.g., "(x+1)/(x-1)".

What angle modes are supported for trigonometric functions?

The calculator supports three angle modes: Degrees (DEG), Radians (RAD), and Gradians (GRAD). Select your preferred mode from the settings before plotting. For example, sin(90) in degree mode equals 1, while sin(π/2) in radian mode also equals 1.

Can I graph piecewise functions or inequalities?

The calculator currently focuses on continuous functions. For piecewise functions, you can plot each piece separately by adding multiple function expressions with appropriate domain restrictions using mathematical notation.

Is the Limbu script related to the Lepcha script?

Both are Tibeto-Burman scripts from the Himalayan region, and both are attributed to legendary Buddhist teachers. However, they are distinct scripts with different glyph forms and different numeral shapes. Limbu numerals (᥆–᥏) are used in eastern Nepal and Sikkim, while Lepcha numerals (᱀–᱉) are used in Sikkim among the much smaller Lepcha community. Use the correct mode for each language.

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Key Features

  • Up to 6 simultaneous functions
  • Zoom and pan controls
  • Intersection detection
  • Export graph as image