PLEASE HELP SIMPLE QUESTION but i just don't get it

[jashaan]

Hi guys,
I am headstarting methods so idk what  R+ ∪{0} means:((
please help me someone!! when do you use this and how do you what the corresponding range of implied domain is??

thank youu xx

[S200]

Basically, all positive real numbers, with the inclusion of zero...

Depending on what the equation is, the range will change...
Sorry, I read that wrong. The range of the implied domain is asking you "For what set of x values is this function defined", and if no domain is given, the maximal domain becomes the implied domain.


Here's some basic set algebra for you..

Spoiler

The overall set of real numbers....

[jashaan]

Basically, all positive real numbers, with the inclusion of zero...

Depending on what the equation is, the range will change...
Sorry, I read that wrong. The range of the implied domain is asking you "For what set of x values is this function defined", and if no domain is given, the maximal domain becomes the implied domain.


Here's some basic set algebra for you..

Spoiler

The overall set of real numbers....

oh okay but why is it for question i - the range is including 0, then infinity (0, positive infinity)... not the R+ U (0) when it could be that? if you get what i mean

[S200]

Hmm...
I guess it's just easier to use the set notation of [0,\(\infty\)) than going all the \(\mathbb{R}^+ \cup{\{0\}}\)