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问题 问题 77 关于偶函数 y =f( |x| )的图象的作法 .(如 :y=|x| 2 + |x| )观点 1 由于偶函数关于 y轴对称 ,所以先作 y =f(x) 在 y轴右边的部分 ,再将其关于 y轴对称 ,则这两部分图象合起来就是所求的 .观点 2 既然偶函数关于 y轴对称 ,所以也可以先作 y =f(x) 在 y轴
Problem 77. The image of the even function y = f( |x| ). (eg: y=|x| 2 + |x| ) Viewpoint 1 Since the even function is symmetric about the y-axis, first do y =f (x) The part to the right of the y-axis, and then symmetry about the y-axis, then the two parts of the image are combined together. Opinion 2 Since the even function is symmetric about the y-axis, it is also possible to first do y = f ( x) On the y-axis