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anonymous

  • one year ago

please help

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  1. anonymous
    • one year ago
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  2. just_one_last_goodbye
    • one year ago
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    brb

  3. anonymous
    • one year ago
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    its pretty difficult

  4. just_one_last_goodbye
    • one year ago
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    http://i.imgur.com/2kS2IGy.png

  5. anonymous
    • one year ago
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  6. dan815
    • one year ago
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    oh okay listen there is a simple way of doing these

  7. dan815
    • one year ago
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    without cheating -_-

  8. anonymous
    • one year ago
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    sorry lol

  9. dan815
    • one year ago
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    factor thjis x^2-2x-3

  10. anonymous
    • one year ago
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    (x-3)(x+1)

  11. dan815
    • one year ago
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    ok right

  12. dan815
    • one year ago
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    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

  13. dan815
    • one year ago
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    |dw:1440461633780:dw|

  14. dan815
    • one year ago
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    if u set x=3 that turns one of those brackets into 0 so u have 2/(0*something)=2/0

  15. dan815
    • one year ago
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    can u think of another number u can set x to to make the denominator 0

  16. anonymous
    • one year ago
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    -1?

  17. dan815
    • one year ago
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    yep thats that -1+1 =0 so

  18. dan815
    • one year ago
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    so setting x=3 or x=-1 make the denominator 0 this means x cannot equal these numbers

  19. anonymous
    • one year ago
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    ok

  20. dan815
    • one year ago
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    there are no other numbers that can turn the denominator 0

  21. dan815
    • one year ago
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    so all other values of x are okay

  22. dan815
    • one year ago
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    so your domain is simply x is not equal to 3 or -1 and x is every other real number

  23. dan815
    • one year ago
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    your range is -infinity to infinity as y can be almost anything

  24. dan815
    • one year ago
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    i mean y can be everything not almost

  25. anonymous
    • one year ago
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    ok

  26. anonymous
    • one year ago
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    thank you

  27. dan815
    • one year ago
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    okay carry on the work

  28. anonymous
    • one year ago
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    what point should i graph?

  29. dan815
    • one year ago
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    find the x and y intercepts, find the vertical asymtototes then u will be ready to graph

  30. dan815
    • one year ago
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    oh wait there is actually a number y canot equal which is 0

  31. anonymous
    • one year ago
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    what point do you recommend i graph?

  32. dan815
    • one year ago
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    y=0 means what is x?

  33. anonymous
    • one year ago
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    0

  34. dan815
    • one year ago
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    no think about this

  35. dan815
    • one year ago
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    lets say y=1/x y=0=1/x what does x have to be to make this fraction 0

  36. anonymous
    • one year ago
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    1

  37. dan815
    • one year ago
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    1/1 = 1

  38. anonymous
    • one year ago
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    0

  39. dan815
    • one year ago
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    that doesnt make 0 try again

  40. anonymous
    • one year ago
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    -1

  41. dan815
    • one year ago
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    1/-1 = -1

  42. dan815
    • one year ago
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    what happens when x is a big number 1/1=1 1/10=0.1 1/1000000=0.0000001

  43. dan815
    • one year ago
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    the bigger the x the closer u are getting to 0

  44. dan815
    • one year ago
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    so wha do u think x has to be

  45. anonymous
    • one year ago
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    infinity?

  46. dan815
    • one year ago
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    yes

  47. dan815
    • one year ago
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    very similiar to ur question

  48. dan815
    • one year ago
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    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?

  49. anonymous
    • one year ago
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    2?

  50. anonymous
    • one year ago
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    sorry, im a little confused

  51. dan815
    • one year ago
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    okay look

  52. dan815
    • one year ago
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    |dw:1440462385204:dw|

  53. anonymous
    • one year ago
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    thats the intercept

  54. dan815
    • one year ago
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    we saw that when it was something like 0=2/B lets say B has to be infinity

  55. anonymous
    • one year ago
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    ok

  56. dan815
    • one year ago
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    |dw:1440462433939:dw|

  57. anonymous
    • one year ago
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    ohhhhhhh ok

  58. dan815
    • one year ago
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    okay so what values of x make the bottom infity or negative infinity

  59. anonymous
    • one year ago
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    infinity

  60. dan815
    • one year ago
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    yep and x can also be negative infinity

  61. dan815
    • one year ago
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    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

  62. dan815
    • one year ago
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    y=0 is a horizontal asymtote

  63. dan815
    • one year ago
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    ill leave it up to you to find the vertical asymtotes now

  64. anonymous
    • one year ago
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    x=+infinity

  65. anonymous
    • one year ago
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    or you could use - infinity

  66. anonymous
    • one year ago
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    :W

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