how do you write a domain and a range?

Question

anonymous · Answer

You can use either set or interval notations.

anonymous · Answer

$$f(x)\in (blahblah) for \forall x \neq (\restriction)$$

anonymous · Answer

I haven't seen any international notation for naming the actual sets, though. Of course you can express the range it in a way how adrianosst wrote it, though.

anonymous · Answer

x>= 0 is also a possibility..

anonymous · Answer

I think the main thing is to be as clear as possible....

anonymous · Answer

When I learned this, the preference was to specify by set (R, Z, etc).

Seems it might have changed to intervals nowadays.

There was also the domain convention, ie it being understood that if not stated, the domain is the largest possible set of real numbers for which the rule is applicable and for a real function, the codomain can always be chosen to be R.

anonymous · Answer

Yeah, but is there a way to denote the sets other than writing in natural language "domain" and "range" or leaving them out completely and just writing, for instance, $x>0$ and $f(x)\in \mathbb{R}$?

anonymous · Answer

Like I said, I think the main point is to be clear, however u do it.

(Personally, I dislike the interval notations and the habit of putting(-inf, inf) to mean R but that's just me I guess).

hero · Answer

Being aware of all of the notation forms plays a factor