Určete definiční obor funkce
![](http://www.sbirkaprikladu.eu/ckeditor/plugins/ckeditor_wiris/integration/showimage.php?formula=44fee70426df5737a83cfe4edba1510e.png)
a sestrojte její graf.
Definiční obor:
Protože ve jmenovateli zlomku nesmí být nula, je možné dosadit za x jakékoliv číslo kromě
![](/ckeditor/plugins/ckeditor_wiris/integration/showimage.php?formula=f0d571b40ebc891853912ac7d55ad363.png)
.
Je tedy
Graf funkce
Před sestrojením grafu upravíme rovnici funkce:
![](/ckeditor/plugins/ckeditor_wiris/integration/showimage.php?formula=375d404d9f1d82c689643464bde347e3.png)
Graf naší funkce je shodný s grafem lineární funkce
![](/ckeditor/plugins/ckeditor_wiris/integration/showimage.php?formula=5ac802e910d0de12c54d93e711d29546.png)
, avšak s přihlédnutím k definičnímu oboru (musíme vynechat hodnotu pro x = -3.
![](data:image/png;base64,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)