import React, { useState } from 'react';
const PolynomialBehaviorWidget: React.FC = () => {
const [degreeType, setDegreeType] = useState<'even' | 'odd'>('odd');
const [lcSign, setLcSign] = useState<'pos' | 'neg'>('pos');
// Visualization
const width = 300;
const height = 200;
const getPath = () => {
// Create schematic shapes
// Odd +: Low Left -> High Right
// Odd -: High Left -> Low Right
// Even +: High Left -> High Right
// Even -: Low Left -> Low Right
const startY = (degreeType === 'odd' && lcSign === 'pos') || (degreeType === 'even' && lcSign === 'neg') ? 180 : 20;
const endY = (lcSign === 'pos') ? 20 : 180;
// Control points for curvy polynomial look
const cp1Y = startY === 20 ? 150 : 50;
const cp2Y = endY === 20 ? 150 : 50;
return `M 20 ${startY} C 100 ${cp1Y}, 200 ${cp2Y}, 280 ${endY}`;
};
return (
Degree (Highest Power)
Leading Coefficient
End Behavior
{degreeType === 'even' && lcSign === 'pos' && "Ends go in the SAME direction (UP)."}
{degreeType === 'even' && lcSign === 'neg' && "Ends go in the SAME direction (DOWN)."}
{degreeType === 'odd' && lcSign === 'pos' && "Ends go in OPPOSITE directions (Down Left, Up Right)."}
{degreeType === 'odd' && lcSign === 'neg' && "Ends go in OPPOSITE directions (Up Left, Down Right)."}