Určete definiční obor funkce
![](/ckeditor/plugins/ckeditor_wiris/integration/showimage.php?formula=2a991364c31521bed2e57760a8a5d382.png)
a sestrojte její graf
Definiční obor
Máme zde dvě podmínky současně: výraz pod odmocninou musí být nezáporný a jmenovatel zlomku nesmí být roven nule.
Platí tedy:
Graf funkce
Graf funkce je v jejím definičním oboru shodný s grafem funkce, kterou dostaneme úpravou rovnice funkce:
![](/ckeditor/plugins/ckeditor_wiris/integration/showimage.php?formula=e148aeeb250d50df27f34fe7ceea98fe.png)
Zde musíme využít vlastnost absolutní hodnoty, funkce se nám rozdělí v nulovém bodě na dvě části:
![](data:image/png;base64,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)