Graphing Calculator

About the Graphing Calculator

Our free online graphing calculator allows you to plot and visualize mathematical functions instantly. Graph multiple functions simultaneously, customize axis ranges, and explore function behavior interactively. Perfect for Class 11-12 students studying algebra, trigonometry, and calculus.

How to Use the Graphing Calculator

1. Enter a function - Type your function using x as the variable (e.g., x^2, sin(x))
2. Click Add Function - Add the function to the graph
3. Adjust axis range - Set custom x-min and x-max values
4. Add more functions - Plot multiple functions to compare
5. Remove functions - Delete functions you no longer need

Key Features

• Multiple Functions - Plot several functions on one graph
• Custom Axis Range - Zoom in/out by adjusting x-min and x-max
• Color-Coded Graphs - Each function gets a unique color
• Trig Functions - Supports sin, cos, tan
• Function Library - Manage all your plotted functions
• Interactive Plot - See graphs update in real-time

Supported Functions

Basic Operations

• Addition: x + 2
• Subtraction: x - 3
• Multiplication: 2*x or 2x
• Division: x/2
• Exponents: x^2, x^3

Advanced Functions

• Square root: sqrt(x)
• Sine: sin(x)
• Cosine: cos(x)
• Tangent: tan(x)
• Natural logarithm: ln(x)
• Common logarithm: log(x)

Example Functions

• Linear: 2x + 3
• Quadratic: x^2 - 4x + 3
• Cubic: x^3 - 3x^2 + 2x
• Trigonometric: sin(x), cos(2x)
• Exponential: 2^x

Understanding Graphs

Linear Functions

Functions of the form y = mx + b create straight lines. The slope (m) determines steepness, and the y-intercept (b) is where the line crosses the y-axis.

Quadratic Functions

Functions like y = ax² + bx + c create parabolas. They have a U-shape (or inverted U if a < 0) with a vertex representing the maximum or minimum point.

Trigonometric Functions

Functions like y = sin(x) and y = cos(x) create wave patterns. They repeat every 2π and oscillate between -1 and 1.

Common Use Cases

• Class 11-12 algebra and calculus homework
• Visualizing function behavior
• Finding roots and intercepts
• Comparing multiple functions
• JEE Main and Advanced mathematics preparation
• Understanding function transformations

Tips for Graphing

• Start with a wide axis range to see the whole function
• Zoom in by narrowing the x-min and x-max values
• Plot simple functions first to verify the calculator works correctly
• Compare similar functions to understand transformations
• Use parentheses to clarify order of operations
• Check critical points like intercepts and turning points

Frequently Asked Questions

How do I enter x squared?

Use the caret symbol: x^2. For other powers, use x^3, x^4, etc.

Can I graph trigonometric functions?

Yes! Use sin(x), cos(x), or tan(x). Make sure to use parentheses.

Why doesn't my graph show up?

Check that: 1) Your function syntax is correct, 2) The function has values in the x-range you've set, 3) The y-values aren't too large (adjust axis range if needed).

How many functions can I plot at once?

You can plot multiple functions simultaneously. Each gets a different color for easy comparison.