如果f(x) =x^4 + x^2 + 5x,则评估f(5) - f(-5).
我们可以首先将函数分成两个部分: f(x) = x^4 + x^2 + 5x = g(x) + h(x),其中 g(x) = x^4 + x^2 和 h(x) = 5x 然后我们可以使用事实 g(x) 是偶函数,而 h(x) 是奇函数.这意味着: g(x) = g(-x) 对所有实物 x h(x) = -h(-x) 对所有实物 x 使用这些属性,我们可以简化表达式: f(5) - f(-5) = (g(5) +(5) - (g(-5) + (h5) - (-(-5) = (g(5) - (g(5) + (h5) - (-(-5) = (g(5) - (h5) + (h5) + (h5) + (h5) + (h5) +h) = (h5) +h = (h5) +h = (h5) +h = (h5) +h = (h) +h = (h) +h = (h) +h = (h) +h = (h) +h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h = h