1.正比例函数y=2x
7654f(x)=2x321-10-8-6-4-224681012-1-2-3-4 2.反比例函数: y=1/x
7651g(x) = x4321-10-8-6-4-224681012-1-2-3-4 3.一次函数: y=-2x+1
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7 6543g(x)=-2x+121-10-8-6-4-224681012-1-2-3-4 4.二次函数:y=-x2+2x+3
7654g(x) = -x2+2×x+3321-10-8-6-4-224681012-1-2-3-4 5.指数函数:y=3x
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7 654g(x) = 3x321-10-8-6-4-224681012-1-2-3-4 6.对数函数:y=log2x
7654g(x)=log2x321-10-8-6-4-224681012-1-2-3-4 7.“双勾”函数:y=x+1/x
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7 654g(x) = x+13x21-10-8-6-4-224681012-1-2-3-4y=|x-2|
76543g(x) = x-221-10-8-6-4-224681012-1-2-3-49.分式函数 y=(x+2)/(x+1)
(由y=1/x 向左平移1单位再向上平移1单位)
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8.绝对值
7 654x+2g(x) = x+1-10-8-6-4-232124681012-1-2-3-4 10. y=f(x) => y=-f(x) (关于x轴对称)
如y= - 2x
5432g(x) = -2x1-8-6-4-2246810-1-2-3 11. y=|x2-2x-3| (把y=x2-2x-3图x轴下方部份上翻)
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5432g(x) = x2-2×x-3-8-6-4-21246810-1-2-3 12.y=|x|2-2|x|-3 (由y=x2-2x-3去y轴左侧图,然后左翻)
43g(x) = x2-2×x-312-8-6-4-2246810-1-2-3-4 6