12. Let the domain of function $f ( x )$ be $\mathbf { R }$, satisfying $f ( x + 1 ) = 2 f ( x )$, and when $x \in ( 0,1 ]$, $f ( x ) = x ( x - 1 )$. If for all $x \in ( - \infty , m ]$, we have $f ( x ) \geq - \frac { 8 } { 9 }$, then the range of $m$ is A. $\left( - \infty , \frac { 9 } { 4 } \right]$ B. $\left( - \infty , \frac { 7 } { 3 } \right]$ C. $\left( - \infty , \frac { 5 } { 2 } \right]$ D. $\left( - \infty , \frac { 8 } { 3 } \right]$
II. Fill-in-the-Blank Questions: 4 questions in total, 5 points each, 20 points total.
D
12. Let the domain of function $f ( x )$ be $\mathbf { R }$, satisfying $f ( x + 1 ) = 2 f ( x )$, and when $x \in ( 0,1 ]$, $f ( x ) = x ( x - 1 )$. If for all $x \in ( - \infty , m ]$, we have $f ( x ) \geq - \frac { 8 } { 9 }$, then the range of $m$ is\\
A. $\left( - \infty , \frac { 9 } { 4 } \right]$\\
B. $\left( - \infty , \frac { 7 } { 3 } \right]$\\
C. $\left( - \infty , \frac { 5 } { 2 } \right]$\\
D. $\left( - \infty , \frac { 8 } { 3 } \right]$
\section*{II. Fill-in-the-Blank Questions: 4 questions in total, 5 points each, 20 points total.}