y=log2(2x-x^2)满足1

y=log2(2x-x^2)满足1
y=log2(2x-x^2)满足1

y=log2(2x-x^2)满足1
t=2x-x²= -(x-1)²+1≤1
y=log2(t)是增函数
所以 y=log2(t)≤0
有上界,无下界.
不满足 1≤f(x)≤2