Equation Graphing Calculator

This calculator helps you generate a table of (X, Y) coordinates for any mathematical equation you provide. Simply enter your function in terms of 'x', define the range for X, and specify how many points you'd like to calculate. While it doesn't draw a visual graph, it provides the data points essential for understanding the function's behavior over a given interval.

Equation (y=f(x)):

Use `x` as the variable. Supported functions: `sin()`, `cos()`, `tan()`, `sqrt()`, `log()`, `pow(base, exp)`, `abs()`, `round()`, `floor()`, `ceil()`. Constants: `PI`, `E`. Use `**` for exponentiation (e.g., `x**2`).

X Start Value:

X End Value:

Number of Points:

Understanding the Equation Graphing Calculator

This tool is designed to help students, educators, and professionals analyze mathematical functions by providing discrete (X, Y) coordinate pairs. By inputting an equation like y = x**2 or y = sin(x) + 2*x, you can observe how the Y-value changes as X varies across a specified range. This is particularly useful for plotting functions manually, understanding function behavior, or preparing data for other graphing software.

How to Use:

Enter Your Equation: In the "Equation (y=f(x))" field, type your mathematical function. Make sure to use x as your variable. For exponentiation, use ** (e.g., x**2 for x-squared) or pow(x, 2). For trigonometric and other mathematical functions, use their standard JavaScript names (e.g., sin(x), cos(x), sqrt(x), log(x)). You can also use constants like PI and E.
Define X Range: Input the "X Start Value" and "X End Value" to set the interval over which the function will be evaluated.
Specify Number of Points: Choose how many (X, Y) pairs you want to generate within your defined range. More points will give you a finer resolution of the function's curve.
Generate Points: Click the "Generate Points" button to see the calculated table of coordinates.

Example Calculation:

Let's say you want to graph the equation y = sin(x) + x/2 from X = -PI to X = PI with 20 points.

Equation: sin(x) + x/2
X Start Value: -PI (approximately -3.1416)
X End Value: PI (approximately 3.1416)
Number of Points: 20

The calculator will then compute 20 evenly spaced X-values between -PI and PI, and for each X, it will calculate the corresponding Y-value using the given equation. The output will be a table similar to this (truncated for brevity):

X	Y
-3.1416	-1.5708
-2.8085	-2.0000
-2.4754	-2.2500
…	…
3.1416	1.5708

This table provides the exact coordinates you would need to plot the function manually or input into a spreadsheet or graphing software for a visual representation.

Generated Points:

"; var step = (xEnd – xStart) / (numPoints – 1); // Define Math functions and constants in the local scope for eval // This allows users to type sin(x) instead of Math.sin(x) var PI = Math.PI; var E = Math.E; var abs = Math.abs; var acos = Math.acos; var acosh = Math.acosh; var asin = Math.asin; var asinh = Math.asinh; var atan = Math.atan; var atanh = Math.atanh; var atan2 = Math.atan2; var cbrt = Math.cbrt; var ceil = Math.ceil; var cos = Math.cos; var cosh = Math.cosh; var exp = Math.exp; var floor = Math.floor; var log = Math.log; var log10 = Math.log10; var log2 = Math.log2; var max = Math.max; var min = Math.min; var pow = Math.pow; var random = Math.random; var round = Math.round; var sign = Math.sign; var sin = Math.sin; var sinh = Math.sinh; var sqrt = Math.sqrt; var tan = Math.tan; var tanh = Math.tanh; var trunc = Math.trunc; // Pre-process equation string: replace ^ with ** for exponentiation var processedEquation = equationStr.replace(/\^/g, '**'); for (var i = 0; i < numPoints; i++) { var x = xStart + i * step; var y; try { // eval will now recognize 'x', 'PI', 'sin', 'pow', etc. y = eval(processedEquation); if (isNaN(y)) { y = "Undefined"; // e.g., sqrt(-1) } else if (!isFinite(y)) { y = "Infinity"; // e.g., 1/0 } else { y = y.toFixed(4); // Format to 4 decimal places } } catch (e) { y = "Error: " + e.message; // If an error occurs, we might want to stop or just mark this point } tableHtml += ""; } tableHtml += "

X	Y
" + x.toFixed(4) + "	" + y + "

"; resultDiv.innerHTML = tableHtml; }