y=log½(4X-X²),½为底4X-X²的对数,
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![y=log½(4X-X²),½为底4X-X²的对数,](/uploads/image/z/1829661-69-1.jpg?t=y%3Dlog%26%23189%3B%EF%BC%884X-X%26%23178%3B%EF%BC%89%2C%26%23189%3B%E4%B8%BA%E5%BA%954X-X%26%23178%3B%E7%9A%84%E5%AF%B9%E6%95%B0%2C)
y=log½(4X-X²),½为底4X-X²的对数,
y=log½(4X-X²),½为底4X-X²的对数,
y=log½(4X-X²),½为底4X-X²的对数,
4X-X²=-(X-2)²+4最大值为4 y=log½(4X-X²)是减函数 y=log½(4X-X²)最小值就为
y=log½ 4 y最小值为-2 值域为(-2,+∞]
4X-X2不能为0和负数,所以4X-X2大于0,解得X大于4或X小于0.
4X-X²=-(x^2-4x)=-[(x-2)^2-4]=-(x-2)^2+4
4X-X²<=4
还要4X-X²>0(定义域要求)
即0<4X-X²<=4
值域:[-2,+∞)