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4.5 Odd Function and Even Function是IB数学 DP AA HL的第22集视频,该合集共计88集,视频收藏或关注UP主,及时了解更多相关视频内容。
A function is even when ... In other words there is symmetry about the y-axis (like a reflection)
奇函数定义为对于任意的x，满足f(x) = -f(-x)。这意味着在函数图像上，对于任何点(x, y)，其关于原点对称的点(-x, -y)也一定在图像上。奇函数的图像通常关于y轴旋转180度后与自身重合。偶函数则定义为对于任意的x，满足f(x) = f(-x)。这意味着对于任何点(x, y)，其关于y轴对称的...
奇函数(odd function),定义为,任意f(x)=-f(-x)的函数,即为奇函数。 偶函数(even function),定义为,任意f(x)=f(-x)的函数,即为偶函数。 奇函数和偶函数在y轴上有一定的对称性。 发布于 2021-06-06 18:20 函数 赞同3添加评论 分享喜欢收藏申请转载 ...
In mathematics, there are various sorts of functions that we examine. We can use algebra or graphics to determine whether a function is even or odd. By substituting negative inputs (-x) for x in the function f(x) and examining the matching output value,
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解析 f is an odd function, so f(-x)=-f(x). g is an even function, so g(-x)=g(x). Then (f⚬g)(-x)=f(g(-x))=f(g(x))=(f⚬g)(x). So f⚬g is even. Also, (g⚬f)(-x)=g(f(-x))=g(-f(x))=g(f(x))=(g⚬f)(x), so g⚬f is even....
If f and g are both even functions, is f+g an even and odd function? If f and g are even functions, then f + g is an even function. Consider a function h(x) = f(x) + g(x). Replace x with -x in h(x), h(-x) = f(-x) + g(-x) = f(x) + g(x) = h(x)....
This function is the sum of the previous two functions. But, while the sum of an odd and an even number is an odd number, I cannot conclude the same of the sum of an odd and an even function. Note that the graph of this function does not have the symmetry of either of the ...