anonymous
  • anonymous
please help
Mathematics
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anonymous
  • anonymous
please help
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
just_one_last_goodbye
  • just_one_last_goodbye
brb
anonymous
  • anonymous
its pretty difficult

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just_one_last_goodbye
  • just_one_last_goodbye
http://i.imgur.com/2kS2IGy.png
anonymous
  • anonymous
dan815
  • dan815
oh okay listen there is a simple way of doing these
dan815
  • dan815
without cheating -_-
anonymous
  • anonymous
sorry lol
dan815
  • dan815
factor thjis x^2-2x-3
anonymous
  • anonymous
(x-3)(x+1)
dan815
  • dan815
ok right
dan815
  • dan815
now the denominator in a fraction cannot be 0 because we dont know what 1/0 really is it can be infinity or - infinity or what
dan815
  • dan815
|dw:1440461633780:dw|
dan815
  • dan815
if u set x=3 that turns one of those brackets into 0 so u have 2/(0*something)=2/0
dan815
  • dan815
can u think of another number u can set x to to make the denominator 0
anonymous
  • anonymous
-1?
dan815
  • dan815
yep thats that -1+1 =0 so
dan815
  • dan815
so setting x=3 or x=-1 make the denominator 0 this means x cannot equal these numbers
anonymous
  • anonymous
ok
dan815
  • dan815
there are no other numbers that can turn the denominator 0
dan815
  • dan815
so all other values of x are okay
dan815
  • dan815
so your domain is simply x is not equal to 3 or -1 and x is every other real number
dan815
  • dan815
your range is -infinity to infinity as y can be almost anything
dan815
  • dan815
i mean y can be everything not almost
anonymous
  • anonymous
ok
anonymous
  • anonymous
thank you
dan815
  • dan815
okay carry on the work
anonymous
  • anonymous
what point should i graph?
dan815
  • dan815
find the x and y intercepts, find the vertical asymtototes then u will be ready to graph
dan815
  • dan815
oh wait there is actually a number y canot equal which is 0
anonymous
  • anonymous
what point do you recommend i graph?
dan815
  • dan815
y=0 means what is x?
anonymous
  • anonymous
0
dan815
  • dan815
no think about this
dan815
  • dan815
lets say y=1/x y=0=1/x what does x have to be to make this fraction 0
anonymous
  • anonymous
1
dan815
  • dan815
1/1 = 1
anonymous
  • anonymous
0
dan815
  • dan815
that doesnt make 0 try again
anonymous
  • anonymous
-1
dan815
  • dan815
1/-1 = -1
dan815
  • dan815
what happens when x is a big number 1/1=1 1/10=0.1 1/1000000=0.0000001
dan815
  • dan815
the bigger the x the closer u are getting to 0
dan815
  • dan815
so wha do u think x has to be
anonymous
  • anonymous
infinity?
dan815
  • dan815
yes
dan815
  • dan815
very similiar to ur question
dan815
  • dan815
y=0=2/((x-3)(x+1)) now the denominator has to be infinity for y=0 so (x-3)(x+1) = inf what is x to make this true?
anonymous
  • anonymous
2?
anonymous
  • anonymous
sorry, im a little confused
dan815
  • dan815
okay look
dan815
  • dan815
|dw:1440462385204:dw|
anonymous
  • anonymous
thats the intercept
dan815
  • dan815
we saw that when it was something like 0=2/B lets say B has to be infinity
anonymous
  • anonymous
ok
dan815
  • dan815
|dw:1440462433939:dw|
anonymous
  • anonymous
ohhhhhhh ok
dan815
  • dan815
okay so what values of x make the bottom infity or negative infinity
anonymous
  • anonymous
infinity
dan815
  • dan815
yep and x can also be negative infinity
dan815
  • dan815
so this graphy will actually never have a y intercept as there is no real x value where the graph will intersect the y=0 line
dan815
  • dan815
y=0 is a horizontal asymtote
dan815
  • dan815
ill leave it up to you to find the vertical asymtotes now
anonymous
  • anonymous
x=+infinity
anonymous
  • anonymous
or you could use - infinity
anonymous
  • anonymous
:W

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