Exploration of Higher-Degree Function Graphs and Intersections
2020-11-20 08:08
This applet demonstrates graphs and properties of higher-degree polynomial functions. By plotting curves in GeoGebra and using the Intersect tool, it explores intersection points between function graphs. Combined with LaTeX rendering, it visually presents analytical expressions and geometric features, helping learners understand graph variations and related inequality applications.
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★f(x)\;和\;g(x)\;和\;h(x)\;和\;i(x)\;的函數圖形是完全不一樣的\\
但是他們『y值的正負』所對應的『x範圍』卻一模一樣！\\
解f(x)>0,g(x)>0,h(x)>0,i(x)>0的答案都是x<-1或x>5\\
解f(x)<0,g(x)<0,h(x)<0,i(x)<0的答案都是-1<x<5且x≠2\\
★改變a值來改變f(x)的次數感受高次函數的“突飛猛進”\\
f(6)=" + (LaTeX[e]) + """ />
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