Answer
Reciprocal function $(F)$
Work Step by Step
We can see from the graph that it represents the reciprocal function, which is expressed as: $ f(x)=\dfrac{1}{x}$. It shows a horizontal asymptote at $y=0$ and a vertical asymptote at $x=0$. Also, the reciprocal function cannot be defined for $x=0$ (division by zero), as is evident in the graph.
So, the matching graph is $(F)$.