一、利用函数奇偶性的必要条件判定若函数的定义域不关于原点对称,则该函数不具有奇偶性,或者说该函数是非奇非偶函数.例 1判定f(x)=2x-17/15-x的奇偶性.解此函数的定义域为{x|x≠15},可知其图像并不关于原点或y轴对称,所以函数f(x)是非奇非偶函数.二、直接利用定义判定若函数f(x)的定义域关于原点对称,则可验证是否满足f(-x)=-f(x)或f(-x)=f(x),从而判定函数f(x)是奇函数还是偶函数. First, the use of functional parity to determine the necessary conditions If the domain of the function is not symmetric about the origin, the function does not have parity, or that the function is non-odd non-even function Example 1 to determine f (x) = 2x-17 / 15-x of the parity solution of the function of the domain of {x | x ≠ 15}, we can see its image is not symmetric about the origin or y axis, so the function f (x) is a non-odd non-even function. Definition Decision If the domain of the function f (x) is symmetric about the origin, it can be verified whether f (x) = f (x) or f (x) = f Is it an odd or even function?