Graphing Calculator - Lepcha Numerals
Plot and visualize mathematical functions with our interactive graphing calculator with Lepcha 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
Lepcha numerals (᱀ through ᱉) are the digits of the Lepcha script, used for the Lepcha language (also called Róng), a Tibeto-Burman language spoken by roughly 66,000 people in Sikkim, India, and in parts of Nepal and Bhutan. The Lepcha script is thought to have been created around 1720 CE by the Sikkimese king Chakdor Namgyal, and is derived from Tibetan script — though its letterforms were rotated 90 degrees when the script was adapted for horizontal writing. This calculator displays results in Lepcha numerals for users who study or work with the Lepcha 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.
Why do Lepcha letters look rotated compared to Tibetan?
The Lepcha script was originally written vertically, like its Tibetan ancestor. When it was adapted for horizontal writing, the letterforms were effectively rotated 90 degrees — what was originally a top-to-bottom stroke became a left-to-right stroke. This rotation gives Lepcha its distinctive appearance, where letters that look familiar to Tibetan readers appear sideways or upside-down. The numerals inherited this rotation.
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Key Features
- Up to 6 simultaneous functions
- Zoom and pan controls
- Intersection detection
- Export graph as image