Math & Algebra Tool

Function Grapher

Plot mathematical functions.

510-55
X: [-10, 10], Y: [-10, 10]

Σ The Formula

Plot y = f(x) for any function | Supports: x^n, sin(x), cos(x), tan(x), log(x), exp(x)

Real World Examples

Parabola
y = x^2 creates a U-shaped curve
Sine Wave
y = sin(x) creates periodic oscillation
Exponential
y = exp(x) shows rapid growth
Rational
y = 1/x shows hyperbola with asymptotes

# About This Calculator

Function graphing is the visual representation of mathematical relationships, showing how output (y) changes as input (x) varies. Graphs reveal patterns, trends, intercepts, maxima/minima, and behavior that aren't obvious from equations alone. Visualization is key to understanding mathematics.

Graphing is essential in calculus (finding derivatives, integrals), physics (motion graphs, wave functions), economics (supply/demand curves), engineering (signal processing), and data science (trend analysis). Being able to visualize functions helps build mathematical intuition and solve complex problems.

This grapher supports common functions: polynomials (x^2, x^3), trigonometric (sin, cos, tan), exponential (exp), logarithmic (log), and combinations. Use standard notation: x^2 for x², sqrt(x) for √x, sin(x) for sine. The graph updates in real-time as you type.

Perfect for exploring function behavior, verifying homework, understanding transformations (shifts, stretches), finding roots/intercepts, or analyzing any mathematical relationship. Adjust the viewing window to zoom in on interesting features or see the big picture.

How To Use

  1. Enter function (e.g. x^2, sin(x), x+2).
  2. Click Plot.

Frequently Asked Questions

What functions can I graph?+

Polynomials (x^2, x^3), trig (sin(x), cos(x), tan(x)), exponential (exp(x)), logarithmic (log(x)), square root (sqrt(x)), absolute value (abs(x)), and combinations like sin(x^2) or x*exp(-x). Use standard math notation.

How do I graph multiple functions at once?+

This calculator graphs one function at a time. To compare functions, graph each separately or use graphing software like Desmos or GeoGebra. You can screenshot individual graphs and compare them side-by-side.

What do intercepts tell me?+

X-intercepts (where graph crosses x-axis, y=0) are the roots/zeros of the function - solutions to f(x)=0. Y-intercept (where graph crosses y-axis, x=0) is f(0). These points are crucial for understanding function behavior and solving equations.

Why does my graph have gaps or vertical lines?+

Gaps occur at undefined points (like 1/x at x=0, or log(x) at x≤0). Vertical lines suggest asymptotes - values where the function approaches infinity. This is normal behavior for rational and logarithmic functions.

How do I find maximum or minimum points?+

Visually locate peaks (maxima) and valleys (minima) on the graph. For precise values, use calculus (set derivative = 0) or numerical methods. The graph helps you estimate where these critical points occur.

Is Function Grapher free to use?+

Yes, Function Grapher on Matheric is completely free to use. We believe in accessible education and utility for everyone.

About

Function graphing is the visual representation of mathematical relationships, showing how output (y) changes as input (x) varies. Graphs reveal patterns, trends, intercepts, maxima/minima, and behavior that aren't obvious from equations alone. Visualization is key to understanding mathematics.

Graphing is essential in calculus (finding derivatives, integrals), physics (motion graphs, wave functions), economics (supply/demand curves), engineering (signal processing), and data science (trend analysis). Being able to visualize functions helps build mathematical intuition and solve complex problems.

This grapher supports common functions: polynomials (x^2, x^3), trigonometric (sin, cos, tan), exponential (exp), logarithmic (log), and combinations. Use standard notation: x^2 for x², sqrt(x) for √x, sin(x) for sine. The graph updates in real-time as you type.

Perfect for exploring function behavior, verifying homework, understanding transformations (shifts, stretches), finding roots/intercepts, or analyzing any mathematical relationship. Adjust the viewing window to zoom in on interesting features or see the big picture.

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