Free Online Graphing Calculator — Plot Any Math Function Instantly

Why Use AZRS Instead of Desmos?

While Desmos is excellent, AZRS goes further with 50+ built-in math functions not found in Desmos: the Gamma function Γ(x), error function erf(x), Riemann Zeta ζ(s), Fourier series (square, sawtooth, triangle), Bernstein polynomials, machine learning activation functions (ReLU, GELU, Sigmoid/Logistic), number-theory tools (isPrime, totient, digitSum), and more.

What Can You Graph?

• Standard functions — y = sin(x), y = x² − 3x + 2, y = e^x
• Parametric curves — x = cos(t), y = sin(t) (circles, spirals)
• Polar equations — r = sin(2θ) (rose curves, spirals)
• Implicit curves — x² + y² = 25, x²/9 + y²/4 = 1
• Inequalities — y > x², x² + y² < 9
• Piecewise functions — y = {x > 0: x, x < 0: −x}
• Derivatives — y = d/dx(x³)
• Custom function defs — f(x) = x² then y = f(x) + 2

Interactive Sliders & Animation

Add any letter (a, b, c, …) to your equation and a live slider appears automatically. Drag it to explore how parameters change the graph. Click Play to animate the slider and watch the curve move in real time — perfect for understanding transformations, oscillations, and families of curves.

How to Write Equations

• Use ^ for powers: x^2 → x²
• Use * for multiplication: 2*x or just 2x
• Write pi for π, e for Euler's number
• Write theta for θ in polar equations
• Use sqrt(x), abs(x), ln(x), log(x)
• Domain restriction: y = sqrt(x) {x > 0}