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.