The TI-84 Plus graphing calculator is an indispensable tool in high school and college mathematics, renowned for its extensive capabilities in graphing functions, solving complex equations, and performing statistical analysis. Among its many features, the ability to generate a table of values for any given function stands out as particularly useful. This feature allows students and educators to quickly observe how a function behaves across a specified range of X-values, providing critical insights into its properties, roots, and turning points.
This online tool is designed to emulate the TI-84's "TABLE" feature, offering a convenient and accessible way to generate a list of (X, Y) coordinate pairs for any mathematical function you define. Whether you're checking homework, exploring the behavior of a new function, or preparing for an exam, this generator provides a quick and accurate way to get the data you need without requiring a physical calculator.
Use `x` as the variable. For powers, use `**` (e.g., `x**2` for x-squared). For common mathematical functions, use `Math.sin(x)`, `Math.cos(x)`, `Math.tan(x)`, `Math.asin(x)`, `Math.acos(x)`, `Math.atan(x)`, `Math.sqrt(x)` (square root), `Math.log(x)` (natural logarithm), `Math.log10(x)` (base-10 logarithm), `Math.abs(x)` (absolute value), `Math.round(x)`, `Math.ceil(x)`, `Math.floor(x)`. Use `Math.PI` for π and `Math.E` for e. Ensure explicit multiplication (e.g., `2*x` not `2x`).
The starting X-value for your table.
The ending X-value for your table.
The increment between successive X-values in the table.
Example Table: y = x**2 – 4
X
Y = f(X)
-3.0000
5.0000
-2.5000
2.2500
-2.0000
0.0000
-1.5000
-1.7500
-1.0000
-3.0000
-0.5000
-3.7500
0.0000
-4.0000
0.5000
-3.7500
1.0000
-3.0000
1.5000
-1.7500
2.0000
0.0000
2.5000
2.2500
3.0000
5.0000
function calculateTable() {
var functionString = document.getElementById('functionInput').value;
var xStart = parseFloat(document.getElementById('xStart').value);
var xEnd = parseFloat(document.getElementById('xEnd').value);
var xStep = parseFloat(document.getElementById('xStep').value);
var resultDiv = document.getElementById('result');
if (isNaN(xStart) || isNaN(xEnd) || isNaN(xStep) || functionString.trim() === ") {
resultDiv.innerHTML = 'Please enter valid numbers for X Start, X End, X Step, and a function.';
return;
}
if (xStep = xEnd) {
resultDiv.innerHTML = 'X Start must be less than X End.';
return;
}
var tableHTML = '
Generated Table
X
Y = f(X)
';
var currentX = xStart;
var maxIterations = 1000; // Prevent infinite loops for tiny steps or huge ranges
var iterationCount = 0;
// Pre-process the function string for common math functions and operators
var processedFunc = functionString;
processedFunc = processedFunc.replace(/\^/g, '**'); // x^2 -> x**2
// Replace common math functions with Math. prefix
processedFunc = processedFunc.replace(/sin\(/g, 'Math.sin(');
processedFunc = processedFunc.replace(/cos\(/g, 'Math.cos(');
processedFunc = processedFunc.replace(/tan\(/g, 'Math.tan(');
processedFunc = processedFunc.replace(/asin\(/g, 'Math.asin('); // arcsin
processedFunc = processedFunc.replace(/acos\(/g, 'Math.acos('); // arccos
processedFunc = processedFunc.replace(/atan\(/g, 'Math.atan('); // arctan
processedFunc = processedFunc.replace(/sqrt\(/g, 'Math.sqrt(');
processedFunc = processedFunc.replace(/log\(/g, 'Math.log('); // Natural log (ln)
processedFunc = processedFunc.replace(/log10\(/g, 'Math.log10('); // Base 10 log
processedFunc = processedFunc.replace(/abs\(/g, 'Math.abs(');
processedFunc = processedFunc.replace(/round\(/g, 'Math.round(');
processedFunc = processedFunc.replace(/ceil\(/g, 'Math.ceil(');
processedFunc = processedFunc.replace(/floor\(/g, 'Math.floor(');
processedFunc = processedFunc.replace(/pi/g, 'Math.PI');
processedFunc = processedFunc.replace(/e/g, 'Math.E');
// Add a small epsilon to currentX to handle floating point inaccuracies
// This helps ensure the loop includes the xEnd value if currentX + xStep == xEnd due to precision issues.
var epsilon = 1e-9;
while (currentX <= xEnd + epsilon && iterationCount < maxIterations) {
var yValue;
try {
// Use a Function constructor to safely evaluate the expression
// This creates a function 'f' where 'x' is the parameter
var f = new Function('x', 'return ' + processedFunc + ';');
yValue = f(currentX);
if (isNaN(yValue)) {
yValue = 'Undefined'; // Handle cases like sqrt(-1) or log(0)
} else if (!isFinite(yValue)) {
yValue = 'Infinity'; // Handle division by zero, log(0) etc.
}
} catch (e) {
resultDiv.innerHTML = 'Error evaluating function: ' + e.message + '. Please check your function syntax.';
return;
}
tableHTML += '