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
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...
Sine function: f(x) = sin(x) It is an odd functionBut an odd exponent does not always make an odd function, for example x3+1 is not an odd function.Neither Odd nor EvenDon't be misled by the names "odd" and "even" ... they are just names ... and a function does not have...
如果对于函数f(x)f(x)f(x)的定义域内任意一个xxx,都有f(−x)=f(x)f(-x)=f(x)f(−x)=f(x),那么函数f(x)f(x)f(x)就叫做偶函数(even function). 如果对于函数f(x)f(x)f(x)的定义域内任意一个xxx,都有f(−x)=−f(x)f(-x...
Which is a fancy way of saying that, if you split the graphs down the middle at the y-axis, an even function's halves will mirror each other exactly, while an odd function's halves with be upside-down of each other. MathHelp.com...
(–x) =–f(x), then the functionf(x) is said to be odd. For example,y= cosxandy=x2are even functions, andy= sinx, y=x3are odd functions. The graph of an even function is symmetric with respect to they-axis, and the graph of an odd function is symmetric with respect to the ...
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,
A function f(x) is even if f(-x) = f(x), for all values of x in D(f) and it is odd if f(-x) = -f(x), for all values of x. The graph even function is symmteric with respect to the y-axis and the graph of an odd function is symmetric about the origin. A real-va...
Prove that the derivative of an even function is an odd function and that of an odd function is an even function. View Solution f(x)=sgn(x)+x2Determine, whether even or odd function View Solution Exams IIT JEE NEET UP Board Bihar Board ...
Odd And Even Functions | Examples View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, ...