Graphing Calculator

Plot and compare functions, implicit equations and inequalities with zoom, pan, coordinate tracking and PNG export.

Expressions

Expression 1
Domain≤ x ≤
Expression 2
Domain≤ x ≤

Type a function of x, an equation in x and y, or an inequality. Trigonometric functions use radians.

x: [-10, 10] · y: [-3.8, 22.88]

Loading chart…

Drag to pan, scroll or pinch to zoom, hover to read coordinates.

Points of interest in view

Zero of y = sin(x)(-9.424778, 0)
Zero of y = sin(x)(-6.2831853, 0)
Zero of y = sin(x)(-3.1415927, 0)
Zero of y = sin(x)(0, 0)
Zero of y = sin(x)(3.1415927, 0)
Zero of y = sin(x)(6.2831853, 0)
Zero of y = sin(x)(9.424778, 0)
Zero of y = x^2 / 4 - 2(-2.8284271, 0)
Zero of y = x^2 / 4 - 2(2.8284271, 0)
y = sin(x) meets y = x^2 / 4 - 2(-2.1642333, -0.8290236)
y = sin(x) meets y = x^2 / 4 - 2(2.9560183, 0.18451105)

Found numerically within the visible x-range; zoom or pan to search elsewhere.

About the Graphing Calculator

An interactive graphing calculator for up to eight expressions at once. Each line can be a function of x (\sin x, or y = x^2 - 3), a vertical line (x = 2), an implicit equation in x and y (x^2 + y^2 = 25) or an inequality (y > x^2), each with its own colour and visibility toggle.

Curves are resampled every time you zoom or pan, so detail is never lost. Discontinuities are detected by bisection: the graph of \tan x or $1/x$ is broken at each asymptote instead of being joined by a false vertical line. Zeros and intersections of the plotted functions inside the view are listed below the graph.

Limitations

Implicit curves and inequality regions are drawn from a 170 × 170 grid of the visible area, so very fine features can look slightly angular until you zoom in.
Zeros and intersections are found numerically inside the visible x-range only.
Trigonometric functions always use radians here.
A real-valued plot shows nothing where the expression is not real — for example x^{1/3} for negative x; use cbrt(x) instead.

How to use it

Type an expression on each line; add lines to compare functions.
Drag to pan and scroll or pinch to zoom. Hover over a curve to read coordinates.
Restrict a function’s domain with the Domain boxes, and export the picture with Export PNG.

Example

sin(x) and x^2/4 − 2

→ Two curves with their intersection points marked

Questions and answers

How do I plot a circle?

Enter it as an implicit equation, for example x^2 + y^2 = 25.

How do I find where two graphs cross?

Plot both functions. Their intersection points inside the view are marked on the graph and listed under “Points of interest”.

Inequality GrapherShade the solution region of linear, quadratic and other inequalities in x and y, with solid or dashed boundaries.Parametric GrapherPlot parametric curves x(t), y(t) over an adjustable parameter interval — circles, ellipses, Lissajous figures and cycloids.Polar GrapherPlot polar curves r = f(θ) on a polar grid with an adjustable angular range — roses, cardioids, spirals and limaçons.3D Surface PlotterPlot z = f(x, y) as an interactive 3D surface that you can rotate, zoom and pan, with adjustable ranges and colour maps.Derivative CalculatorDifferentiate functions symbolically — first, second and higher derivatives — with the rules used and a numerical verification.

Expressions

Points of interest in view

About the Graphing Calculator

Limitations

How to use it

Questions and answers

Related tools

Expressions

Points of interest in view

About the Graphing Calculator

Limitations

How to use it

Questions and answers