Each of of the functions below has one or more holes and/or asymptotes. Graph the functions on your graphing calculator and write a complete set of approach statements for each function.

1. $f(x) =\frac { 2 ^ { x } } { x }$

   Hint (a):

   A complete set of approach statements will include:

   $x \rightarrow\infty$                                                        $x \rightarrow-\infty$

   $x\rightarrow (\text{hole})^-$                                             $x\rightarrow (\text{hole})^+$   

   $x\rightarrow (\text{vert. asymptote})^-$                   $x\rightarrow (\text{vert. asymptote})^+$

2. $f(x)=\frac{2^x-1}{x}$

   Hint (b):

   See the hint in part (a).