Plot mathematical functions instantly. Type any expression using x and click Plot — supports trig, logarithms, polynomials, and more.
x as the variable. You can plot up to 4 functions at once — each gets its own color.| Input | Means |
|---|---|
x^2 | x squared |
2*x + 1 | 2x + 1 |
sin(x) | sine of x |
cos(x) | cosine of x |
tan(x) | tangent of x |
sqrt(x) | square root |
abs(x) | absolute value |
log(x) | log base 10 |
ln(x) | natural log |
exp(x) | eˣ |
PI | π ≈ 3.14159 |
E | e ≈ 2.71828 |
* for multiplication — 2x won't work, write 2*x. Division by zero and undefined values are automatically skipped on the graph.A graphing calculator plots mathematical functions as visual curves on a coordinate plane. Instead of just getting a numerical answer, you can see the shape and behavior of a function — where it crosses zero, where it peaks or dips, whether it grows or decays. Graphing calculators are essential tools in algebra, calculus, trigonometry, and physics.
| Type | Example | Shape |
|---|---|---|
| Linear | y = 2x + 1 | Straight line |
| Quadratic | y = x² | Parabola (U-shape) |
| Cubic | y = x³ | S-shaped curve |
| Sine | y = sin(x) | Wave oscillating between -1 and 1 |
| Cosine | y = cos(x) | Wave starting at 1 |
| Exponential | y = exp(x) | Rapid upward growth |
| Logarithmic | y = log(x) | Slow increasing curve |
| Absolute value | y = abs(x) | V-shape |
| Square root | y = sqrt(x) | Half parabola |
A function is a rule that assigns exactly one output value (y) to each input value (x). For example, f(x) = x² means "square the input." When x = 3, the output is 9. Graphing a function shows all these input-output pairs plotted as a curve.
The x-axis (horizontal) represents the input values of the function. The y-axis (vertical) represents the output values. Each point on the graph (x, y) shows what output the function produces for a given input.
A parabola is the U-shaped curve produced by quadratic functions like y = x². If the coefficient of x² is positive, the parabola opens upward. If negative, it opens downward. Parabolas appear in projectile motion, satellite dishes, and car headlights.
The sine function produces a smooth wave that oscillates between -1 and 1. It starts at 0, rises to 1 at x = π/2, returns to 0 at x = π, dips to -1 at x = 3π/2, and completes one full cycle at x = 2π (about 6.28). This repeating pattern makes it ideal for modeling waves and oscillations.
This calculator uses standard JavaScript math syntax, which requires an explicit multiplication symbol. Writing 2x is mathematical shorthand, but computers need 2*x to know it means multiplication. Similarly, use x^2 for exponents and sqrt(x) for square roots.
Yes — this graphing calculator supports up to 4 functions simultaneously, each shown in a different color (blue, red, green, orange). This is useful for comparing functions, finding intersections, or visualizing related equations on the same graph.