\[ \begin{aligned} \text{а)}\quad y&=\frac{2x+3}{x}=2+\frac3x;\\ &\text{асимптоты: }x=0,\ y=2;\\ &\text{точки: }(1;5),\ (-1;-1),\ (3;3),\ (-3;1). \end{aligned} \]
\[ \begin{aligned} \text{б)}\quad y&=\frac{4-5x}{x}=-5+\frac4x;\\ &\text{асимптоты: }x=0,\ y=-5;\\ &\text{точки: }(1;-1),\ (-1;-9),\ (2;-3),\ (-2;-7). \end{aligned} \]
\[ \begin{aligned} \text{в)}\quad y&=\frac{12}{x-4};\\ &\text{асимптоты: }x=4,\ y=0;\\ &\text{точки: }(5;12),\ (6;6),\ (3;-12),\ (2;-6). \end{aligned} \]
\[ \begin{aligned} \text{г)}\quad y&=-\frac6{-x+3}=\frac6{x-3};\\ &\text{асимптоты: }x=3,\ y=0;\\ &\text{точки: }(4;6),\ (5;3),\ (2;-6),\ (1;-3). \end{aligned} \]