Gaokao Math Practice Question
设函数 $f(x)$ 的定义域为 $\mathbf{R}$, 满足 $f(x+1)=2 f(x)$, 且当 $x \in(0,1]$ 时, $f(x)=x(x-1)$. 若对任意 $x \in(-\infty, m]$, 都有 $f(x) \geq-\frac{8}{9}$, 则 $m$ 的取值范围是
- A.$\left(-\infty, \frac{9}{4}\right]$
- B.$\left(-\infty, \frac{7}{3}\right]$
- C.$\left(-\infty, \frac{5}{2}\right]$
- D.$\left(-\infty, \frac{8}{3}\right]$
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