Can someone help with domain and range?

- BloomLocke367

Can someone help with domain and range?

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- theopenstudyowl

yes @BloomLocke367

- BloomLocke367

FINALLY OS IS WORKING FOR ME. sorry for the delay

- BloomLocke367

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## More answers

- BloomLocke367

that's just a rough sketch @mathmate can you help? I'm not sure because of the gap

- BloomLocke367

@phi

- anonymous

Domain is the interval of defined values in the x axis. (That means they are not undefined.)
Range is the interval of defined values in the y axis

- BloomLocke367

I know what domain and range are xp

- BloomLocke367

I have a test tomorrow and I'm doing a review sheet lol. I have half of it done xp

- mathmate

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- BloomLocke367

yes I know something like that XD

- BloomLocke367

but it's this particular graph that is bugging me

- anonymous

I'll help someone then. Pm me if you need further help.

- mathmate

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Knowing the interval notation also helps.
http://www.coolmath.com/algebra/07-solving-inequalities/03-interval-notation-01

- BloomLocke367

I know how to write interval notation and using inequalities lol XD

- mathmate

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- BloomLocke367

wouldn't it be [2,5)?

- mathmate

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Correction:
\([2,5)\cup(9,\infty)\)

- mathmate

So it's all clear how you would approach your particular problem?

- BloomLocke367

yes I know...so would the domain be [-5,-1)U(3,+inf)?

- mathmate

The 3 in incorrect.
The point lies on the y-axis, so it's zero. 3 is the y-coordinate.

- BloomLocke367

ooopppppppppsss. 0, I just realized that. sorry my sister was talking to me and I really can't focus

- mathmate

Note: all points on the y-axis have x-value=0.

- mathmate

Good, so you're all set!

- mathmate

Can't do the range, because there is not enough information.

- BloomLocke367

yes I know XD I'm just frustrated. now how would I write that particular domain using equalities?

- BloomLocke367

INequalities*** ugh

- mathmate

In set notation, you could write:
\(\{x | -5\le x < -1 \cup 0

- anonymous

It is possible for the range is the parabola vertex is actually at 3

- anonymous

if the parabola*

- BloomLocke367

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- phi

the "little end" of < is next to the smaller value
and the "fat end" is next to the bigger number
if you want to say
[2,5) you write
\[ 2 \le x \lt 5\]

- mathmate

Do you mean (-3,2) ?

- BloomLocke367

there I fixed that issue. *takes a deep breath*
and I know @phi I just didn't know know if U was included or not

- BloomLocke367

and yes I do omg I just can't get ANYTHING right today. I'm so sorry :(

- phi

you use U if you have to glue together "separated" domains

- mathmate

So what do you propose for the range?

- mathmate

It's similar to the domain, but look along the y-axis.

- phi

it looks like [0,2] U (3,inf)

- BloomLocke367

that's what I was about to say @phi. I had to refresh

- anonymous

Is that an endpoint at the right side of the graph?

- BloomLocke367

and no, it's an arrow

- BloomLocke367

so set notation would be {\({y~|~0\le y \le 2 U 3

- BloomLocke367

right? or am I wrong? idek. I'm about to give up and go to bed

- phi

yes

- BloomLocke367

thank you.

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