Domain of a function?

[ProfessorFilostrato]

Find the domain og y = the square root of x -2
Then use several values in the domain to make a table.

Ok...the domain is all X-values right?? So how do I find it???

 

[Gene]

Nope! sqrt(x-2) needs x>2. No negatives allowd under the radicle.
If you make the several values squares + 2 the table should be easy.

 

[ProfessorFilostrato]

Alright...so the domain is all real numbers greater than or equal to 2? For my table I have under x: 2,3,4,5 under sqrt x - 2 I have 0, 1, 1.4, 1.8

Is that correct?

 

[tkhunny]

Personally, I'd prefer at least one more decimal place. Looks good, otherwise.

 

[Gene]

If you are satisfied with approximations they are correct up to 1.8. Since it is the shortened form of 1.732..., it would round to 1.7
I would have prefered
0, 1, sqrt(2), sqrt(3) which are exact. That's why I suggested squares+2 which avoids the question.
2, 3, 6, 11...
0, 1, 2, 3...