You can use CAS and Algebra View to work with rational functions, and find asymptotes or the values of the function. 
     You can plot rational functions in Graphics View in the same way as all other                                                                                                                                                                                                                                          functions. 
     GeoGebra has its own command for asymptotes: Asymptote(<Object>). 
     GeoGebra Instruction 1
CAS CAS     under         View     in         Menu.         Asymptote(<Object>)     in         CAS.         Replace         <Object>     with         the         name         of         your         function         or         expression         and         press         Enter.         where is a horizontal or the oblique asymptote, and is a vertical asymptote.
      
     GeoGebra Instruction 2
Graphics View Algebra     View     and         Graphics     View     under         View     in         Menu.         Algebra     View     and         press         Enter.         The         function         is         then         saved         in         Algebra     View.         Asymptote(<Object>)     and         replace         <Object>     with         the         name         of         your         function.         The         asymptotes         will         then         appear         in         Graphics     View.