[tex]y=\frac{2-3x}{x}[/tex]
Vertical asymptote[tex]\Rightarrow x=0[/tex]
[tex]2-3x=0\\\Rightarrow 3x=2\\\Rightarrow x=\frac{2}{3}[/tex]
Zeroes [tex]x=\frac{2}{3}[/tex]
[tex]\Rightarrow[/tex]graph cuts [tex]x-axis[/tex] at [tex]x=\frac{2}{3}[/tex]
Horizontal asymptote[tex]=\frac{coefficient \ of \ higest \ degree \ term \ in \ numerator}{coefficient \ of \ higest \ degree \ term \ in \ denominator}[/tex]
[tex]y=\frac{-3}{1}[/tex]
[tex]=-3[/tex]
Horizontal asymptote[tex]y=-3[/tex]
[tex]\therefore[/tex] Given graph is [tex]y=f(x)[/tex]
