Y by Adventure10, Mango247
Let us consider f as the following function : ![$ f(x)= \frac {x - \sqrt{2}}{ [x \sqrt{2} ] } $](//latex.artofproblemsolving.com/a/9/f/a9f640a2ba0f2c58a1a7085e843e82ae41c72951.png)
1- Find the definition domain
2-Prove that
is continous on 
3-Study the continuity of
on 
4-Then draw the geometric representation of
on ![$ ] \frac {1}{ \sqrt{2} } ; 2 \sqrt{2} [ $](//latex.artofproblemsolving.com/d/0/4/d04f852d2494e9cd545a1ff20462e7283595c9ce.png)
![$ f(x)= \frac {x - \sqrt{2}}{ [x \sqrt{2} ] } $](http://latex.artofproblemsolving.com/a/9/f/a9f640a2ba0f2c58a1a7085e843e82ae41c72951.png)
1- Find the definition domain

2-Prove that


3-Study the continuity of


4-Then draw the geometric representation of

![$ ] \frac {1}{ \sqrt{2} } ; 2 \sqrt{2} [ $](http://latex.artofproblemsolving.com/d/0/4/d04f852d2494e9cd545a1ff20462e7283595c9ce.png)