多项式函数的性质
几何画板及绘图内容加载中，请稍等……
①本范例演示多项式函数的图像及其性质变化；②涉及核心数学概念包括函数、多项式函数、反射、代数、实数、全等、二次函数；③作图要点：使用 GeoGebra 命令 If、对象 dummy、Degree、g、e、d、c、b、a、Leading_Coefficient、Number_Terms、f、text2、text3；④适合高中数学教学，用于理解多项式函数的图像特征与参数影响。
GeoGebra 命令及参数
If(Number_ Terms - 1 > Degree, x + 100, If[Number_ Terms ≟ 1, (Leading_ Coefficient * x^(Degree)), If[Number_ Terms ≟ 2, (Leading_ Coefficient * x^(Degree)) + (a * x^(Degree - 1)), If[Number_ Terms ≟ 3, (Leading_ Coefficient * x^(Degree)) + (a * x^(Degree - 1)) + (b * x^(Degree - 2)), If[Number_ Terms ≟ 4, (Leading_ Coefficient * x^(Degree)) + (a * x^(Degree - 1)) + (b * x^(Degree - 2)) + (c * x^(Degree - 3)), If[Number_ Terms ≟ 5, (Leading_ Coefficient * x^(Degree)) + (a * x^(Degree - 1)) + (b * x^(Degree - 2)) + (c * x^(Degree - 3)) + (d * x^(Degree - 4)), If[Number_ Terms ≟ 6, (Leading_ Coefficient * x^(Degree)) + (a * x^(Degree - 1)) + (b * x^(Degree - 2)) + (c * x^(Degree - 3)) + (d * x^(Degree - 4)) + (e * x^(Degree - 5)), If[Number_ Terms ≟ 7, (Leading_ Coefficient * x^(Degree)) + (a * x^(Degree - 1)) + (b * x^(Degree - 2)) + (c * x^(Degree - 3)) + (d * x^(Degree - 4)) + (e * x^(Degree - 5)) + (g * x^(Degree - 6)), x + 100]]]]]]]) → f