Hello, thereddevils!
How to sketch this graph: .$\displaystyle y\:=\:\left3+\frac{1}{x}\right$ First, graph: .$\displaystyle y \;=\;3 + \frac{1}{x}$ Code:

*

 *
 *
 *
 *
3 *
        +         
* 
* 
*+
* 
* 

*

Then anything below the $\displaystyle x$axis is reflected upward.
Code:

*

* *
 *
 *
 *
* *
        +         
* * 
* * 
*+



Edit: Ah . . . Rachel.F beat me to it!
.