anonymous
  • anonymous
Need help now please!!!! domain and range help! y=sqrt3x and y=sqrt(5x-3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@mathway
anonymous
  • anonymous
anyone?
Ac3
  • Ac3
you need the domain and range?

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anonymous
  • anonymous
yes for both of them
Ac3
  • Ac3
Do you know how to graph them?
anonymous
  • anonymous
yes i was getting like 0, infinity and stuff like that but wasn't sure if it was right
Ac3
  • Ac3
ok what did you get for sqrt(3x)?
anonymous
  • anonymous
let me check real quick
anonymous
  • anonymous
ok i had x>=0 for domain and y<=0 for range
Ac3
  • Ac3
|dw:1439165090472:dw|
anonymous
  • anonymous
the second one went a little like domain 3/5 and range 0
Ac3
  • Ac3
range of 0 is not possible
anonymous
  • anonymous
okay. i knew i didn't know what i was doing..
Ac3
  • Ac3
Domain is how far left and right (on x-axis) the graph goes.
Ac3
  • Ac3
Range is how far up and down(on y-axis) the graph goes
anonymous
  • anonymous
okay. makes sense.
anonymous
  • anonymous
now how would i figure it out?
anonymous
  • anonymous
i would rather have help then get it wrong again..
Ac3
  • Ac3
By using the graph.
Ac3
  • Ac3
Look at the graph how far to the left does it go?
Ac3
  • Ac3
What x value?
anonymous
  • anonymous
0
Ac3
  • Ac3
ok now how far to the right?
anonymous
  • anonymous
its infinity..
anonymous
  • anonymous
it doesn't have a endpoint.
Ac3
  • Ac3
exactly so for domain the common way of writing it is (left farthest x-value,right farthest x-value)
anonymous
  • anonymous
so it'll be 0, infinity?
Ac3
  • Ac3
so here it's [0,infiniti)
anonymous
  • anonymous
okay now the range.
Ac3
  • Ac3
keep in mind the graph does touch 0 so you have to use a bracket. You use the parenthesis when you don't touch the value. Since we never touch infinity we use a parenthesis.
Ac3
  • Ac3
Ok now range
Ac3
  • Ac3
What's the lowest point?
anonymous
  • anonymous
okay. thanks for letting me know that because i wasn't even using those.
anonymous
  • anonymous
0
Ac3
  • Ac3
Ok and we do touch 0 correct?
anonymous
  • anonymous
yes.
Ac3
  • Ac3
ok so the first part of the range is [0,
Ac3
  • Ac3
now what's the highest point?
anonymous
  • anonymous
and it'll be infinity again right?
Ac3
  • Ac3
Exactly, and because we don't touch it we use parenthesis.
Ac3
  • Ac3
so the range is [0,infinity)
anonymous
  • anonymous
awesome
Ac3
  • Ac3
same as domain.
Ac3
  • Ac3
Ok now on to the next one.
anonymous
  • anonymous
[0.6,infinity) ?
anonymous
  • anonymous
then the range is [0, infinity) ?
Ac3
  • Ac3
Yes
Ac3
  • Ac3
Keep in mind most professors don't like decimals. So rewrite domain as [3/5,infinity)
anonymous
  • anonymous
awesome.. thank you! do you think you could stick around and see if you could help me with this other thing I'm stuck on?
anonymous
  • anonymous
its finding the inverse of these functions and I've been stuck on it for hours
Ac3
  • Ac3
Alright if it's quick I will make a new question though and close this one.
Ac3
  • Ac3
Oh that's easy.
anonymous
  • anonymous
so you want me to close this one?
Ac3
  • Ac3
Yes you should.
anonymous
  • anonymous
ok one second.

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