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Tezmy Tools

Graphing Calculator

Plot up to five functions of x, zoom and pan, read values and find where they cross zero

Drag the graph to move it, scroll or pinch to zoom, and hover or touch it to read values. Dots on the x-axis are where a function crosses zero.

  • y1 crosses zero at x ≈ -2, 2
  • y2 crosses zero at x ≈ -9.42478, -6.28319, -3.14159, 0, 3.14159, 6.28319

Runs in your browser. Nothing is uploaded.

About the Graphing Calculator

Graphing Calculator draws the graph of any function of x. Type an expression such as x^2 - 4, sin(x), 1/x or abs(x) - 2, add up to five at once in different colours, and see them instantly. Drag the graph to move it, scroll or pinch to zoom, and hover or touch to read exact values. Dots on the x-axis mark where each function crosses zero. It understands implicit multiplication, brackets, powers and the usual functions, and draws gaps where a function is undefined, as for 1/x or tan(x). Everything runs in your browser, and you can save the graph as a PNG.

Updated October 2026

How to use the Graphing Calculator

  1. 1Type a function of x in the first box, for example x^2 - 4. You can leave out y =.
  2. 2Add more functions with Add function, or tap an example.
  3. 3Drag the graph to move around, scroll or pinch to zoom, or use the Zoom buttons.
  4. 4Hover or touch the graph to read x and y for each function.
  5. 5Press Save PNG to keep the picture, or Reset view to go back.

Reading a graph

A graph shows how y changes as x changes. A straight line means a steady rate, a parabola means a squared term, a wave means a repeating pattern such as sine. Where the curve crosses the x-axis, the function equals zero: those are the roots, or solutions, of the equation.

Type it the natural way

You can write 2x instead of 2*x, and 3sin(x) instead of 3*sin(x). Use brackets for anything that is not obvious: 1/(x+1) is not the same as 1/x + 1. The expression sin x cos x means sin(x) times cos(x), while sin 2x means sin(2x).

  • x^2 - 4: a parabola with zeros at -2 and 2
  • sin(x): a wave between -1 and 1
  • 1/x: two curves with a gap at 0
  • abs(x) - 2: a V shape
  • sqrt(x): only for x of zero or more

Compare functions

Plot two or more functions to see where they meet, which shows the solution of an equation: where x^2 and 2x + 3 cross, x^2 = 2x + 3. Use the readout under the graph to compare their values at the same x as you move across.

Zoom to explore

The first view shows x from -10 to 10. Zoom in to see detail near a point, or zoom out to see the long-term shape, for example how e^x grows. If the graph disappears, press Reset view.

Related maths tools

Solve equations with the Quadratic Equation Solver and the Cubic Equation Solver, find a gradient with the Slope Calculator, and take derivatives and integrals with the Derivative Calculator and the Integral Calculator.

Features

  • Up to five functions in five colours
  • Pan with drag, zoom with scroll or pinch
  • Hover or touch to read exact values
  • Zeros (x-intercepts) marked and listed
  • Gaps at asymptotes and undefined points
  • Save the graph as a PNG

Frequently asked questions

How do I write functions?

Use x as the variable and write as you would on paper: 2x^2 - 3, (x+1)(x-1), 3sin(x), sqrt(x), abs(x), ln(x), e^x. Powers use the caret ^. Implicit multiplication such as 2x and 3(x+1) works.

Which functions are supported?

sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, sqrt, cbrt, ln, log (base 10), log2, exp, abs, floor, ceil, round, sign, sec, csc and cot, plus the constants pi, e and tau. Trigonometric functions use radians.

Why is there a gap in my graph?

The function is undefined there, for example sqrt of a negative number, ln of zero or 1/x at x = 0, or it jumps off the screen as tan(x) does. The tool leaves a gap instead of drawing a false line across.

How do I find where a function equals zero?

Look for the dots on the x-axis and the list under the graph. The tool finds sign changes across the visible area and narrows them down to about six decimal places. Zoom out to find more.

Can I graph equations like x^2 + y^2 = 4?

Not yet. The tool plots y as a function of x. For a circle, graph the two halves: sqrt(4 - x^2) and -sqrt(4 - x^2).

Does it work on a phone?

Yes. Drag with one finger to move and pinch with two fingers to zoom.

Can I use it in an exam?

Check your exam rules. Online tools are usually not allowed. For learning and homework checks it is fine.

Is my work saved or uploaded?

No. Everything is drawn in your browser. Reloading the page resets your functions.

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