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kohai

  • one year ago

@hwyl

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  1. kohai
    • one year ago
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    Domain and range looking at graphs

  2. hwyl
    • one year ago
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    oh okay go on

  3. kohai
    • one year ago
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    There is nothing to go on v,v I don't know how to do it

  4. kohai
    • one year ago
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    Omg satellite don't make fun of me ;-;

  5. hwyl
    • one year ago
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    oh okay we have domain co-domain range do you know each of those?

  6. kohai
    • one year ago
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    I saw that >.<

  7. anonymous
    • one year ago
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    i wasn't

  8. anonymous
    • one year ago
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    i was laughing at @hwyl

  9. kohai
    • one year ago
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    I know that domain is the x-values and range is the y. I can do it based off of coordinates but I can't do it based off of graphs

  10. hwyl
    • one year ago
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    oh okay that's fine create a graph for me do not label

  11. anonymous
    • one year ago
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    |dw:1443148507651:dw|

  12. kohai
    • one year ago
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    It's mostly the unlabled infinity graphs I have issues with

  13. hwyl
    • one year ago
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    just when I said do not label -_-

  14. hwyl
    • one year ago
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    let us do an example based off your book

  15. kohai
    • one year ago
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    |dw:1443148694480:dw| Start with an easy cubic

  16. hwyl
    • one year ago
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    okay

  17. hwyl
    • one year ago
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    we're going to use the most basic cube function \(f(x) = x^3 \)

  18. kohai
    • one year ago
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    Sure

  19. hwyl
    • one year ago
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    so what is the domain of the function?

  20. kohai
    • one year ago
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    \[(-\infty, \infty)\] ?

  21. hwyl
    • one year ago
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    this is when you try to think about the pretty set-builder notation or that

  22. hwyl
    • one year ago
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    can x be any number?

  23. kohai
    • one year ago
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    I think so yeah

  24. hwyl
    • one year ago
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    think hard, what condition that it won't work

  25. kohai
    • one year ago
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    I feel really stupid for not knowing =.=

  26. hwyl
    • one year ago
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    we have Real numbers etc etc

  27. kohai
    • one year ago
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    Imaginary numbers? So like i and stuff I guess

  28. hwyl
    • one year ago
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    aha! there you go

  29. anonymous
    • one year ago
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    |dw:1443149075246:dw|

  30. kohai
    • one year ago
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    Yeah, the solid lines like that I'm okay with. It's stuff that I don't see an end to like parabolas and cubic graphs etc

  31. hwyl
    • one year ago
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    so pretty much any real number is valid

  32. anonymous
    • one year ago
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    |dw:1443149216613:dw|

  33. Cookie_2046
    • one year ago
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    https://www.youtube.com/watch?v=wu5iAgJ65dA

  34. kohai
    • one year ago
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    @satellite73 , R=all real numbers?

  35. kohai
    • one year ago
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    This is where I start getting lost haha

  36. hwyl
    • one year ago
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    |dw:1443149291544:dw|

  37. hwyl
    • one year ago
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    since you were talking about infinities, let us try something periodic with infinity

  38. hwyl
    • one year ago
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    just pardon my drawing

  39. kohai
    • one year ago
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    You're pardoned ;)

  40. hwyl
    • one year ago
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    it's basically a graph of \(tan(x) \)

  41. hwyl
    • one year ago
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    suppose the domain, co-domain and range

  42. hwyl
    • one year ago
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    oops yes that!

  43. hwyl
    • one year ago
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    went too happy with the vertical lines

  44. hwyl
    • one year ago
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    |dw:1443149631927:dw|

  45. hwyl
    • one year ago
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    |dw:1443149780293:dw|

  46. kohai
    • one year ago
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    Pretty drawings

  47. hwyl
    • one year ago
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    let us see what the domain, range and period

  48. kohai
    • one year ago
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    I don't need to know period or co-domain. It's alg2 level rn

  49. hwyl
    • one year ago
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    oh so what is the domain and range?

  50. kohai
    • one year ago
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    domain [-pi/2, pi/2] range (-inf, inf)

  51. hwyl
    • one year ago
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    okay now think carefully does the x really cross or touch +/- pi/2

  52. kohai
    • one year ago
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    No

  53. hwyl
    • one year ago
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    so you can't really say \( \pm\pi/2 \)

  54. hwyl
    • one year ago
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    maybe we can suppose that it is \(x \neq \pm \pi/2\)

  55. kohai
    • one year ago
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    v,v I won't have super complex domains and ranges on this test though

  56. hwyl
    • one year ago
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    oh okay then let us make it easier how about sin x draw the graph and indicate the domain and range

  57. kohai
    • one year ago
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    |dw:1443150342371:dw|

  58. hwyl
    • one year ago
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    make it a little smaller

  59. kohai
    • one year ago
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    Please tell me thats a sin graph...

  60. kohai
    • one year ago
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    ur jelly of my drawing skills

  61. kohai
    • one year ago
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    |dw:1443150458901:dw|

  62. hwyl
    • one year ago
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    |dw:1443150441508:dw|

  63. hwyl
    • one year ago
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    |dw:1443150577160:dw|

  64. hwyl
    • one year ago
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    indicate your domain and range

  65. kohai
    • one year ago
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    Domain [0, inf) Range [1, -1]

  66. hwyl
    • one year ago
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    |dw:1443150722246:dw|

  67. kohai
    • one year ago
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    Oh. (-inf, inf)

  68. hwyl
    • one year ago
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    yes, because there is no constraint in the value of x provided that we use Real number

  69. hwyl
    • one year ago
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    @iambatman we need to do polarization later

  70. hwyl
    • one year ago
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    always from left to right or least to most so negative to positive

  71. kohai
    • one year ago
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    Gotcha, okay

  72. hwyl
    • one year ago
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    you pretty much get it already

  73. kohai
    • one year ago
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    Yeah I guess so. I just have to think about them. I can do linear because I can physically see, stuff with infinity is a bit more abstract

  74. hwyl
    • one year ago
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    |dw:1443151574827:dw|

  75. hwyl
    • one year ago
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    what is your domain and what is your range?

  76. kohai
    • one year ago
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    For some reason this puzzles me ;-;

  77. hwyl
    • one year ago
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    alright start with range

  78. kohai
    • one year ago
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    That's the part that's confusing me....... this is stupid v,v lol

  79. hwyl
    • one year ago
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    |dw:1443151869375:dw|

  80. hwyl
    • one year ago
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    can my range go lower than a?

  81. kohai
    • one year ago
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    No

  82. hwyl
    • one year ago
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    so there you go, you start with that value range:[1, inf)

  83. kohai
    • one year ago
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    Oh I guess that makes sense. I got the 1 but I wasn't sure about the second coordinate

  84. hwyl
    • one year ago
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    I mean range:[a, inf)

  85. hwyl
    • one year ago
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    pellet, I was going to ask you about the one with the detailed function

  86. hwyl
    • one year ago
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    instead of an actual number, I assigned a

  87. kohai
    • one year ago
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    Lol

  88. hwyl
    • one year ago
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    but they are the same |dw:1443152138070:dw||dw:1443152147095:dw|

  89. hwyl
    • one year ago
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    you said earlier that domain is x and range is y |dw:1443152218860:dw|

  90. hwyl
    • one year ago
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    these are specific domains x, which gives you a range |dw:1443152497889:dw|

  91. kohai
    • one year ago
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    Gotcha

  92. hwyl
    • one year ago
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    but see, no matter what values you have for x, your y can only go up from 1

  93. kohai
    • one year ago
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    Hey I appreciate you helping me :)

  94. hwyl
    • one year ago
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    that's why our range starts from 1 to infinity

  95. hwyl
    • one year ago
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    that is because how the function is set up, constrained by the constant k |dw:1443152666861:dw|

  96. hwyl
    • one year ago
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    do you want me to get a few sample problems from a book?

  97. kohai
    • one year ago
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    Nah, I think I've got it. And even if I get like the 2 problems with domain and range wrong I know the rest of the stuff lol. I think I'll be fine. Thank you for helping me :)

  98. hwyl
    • one year ago
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    okay that's from a graph, how about from a function or equation?

  99. kohai
    • one year ago
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    Those I can do fine

  100. kohai
    • one year ago
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    And I'm starting to not process stuff lol. I think I'm good for now

  101. hwyl
    • one year ago
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    \(\large f(x) = \frac{1}{x^2-4} \)

  102. hwyl
    • one year ago
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    can you write your domain in set-builder notation?

  103. kohai
    • one year ago
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    Mehhh lemme look at some examples and come back to this

  104. hwyl
    • one year ago
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    wowwwww lol alright, I need to grab something to eat

  105. kohai
    • one year ago
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    I can't remember how to do it lol

  106. hwyl
    • one year ago
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    oh, you just need to remember the definition of a function

  107. kohai
    • one year ago
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    The y-coordinates can be the same, there just can't be more than one x-coordinate

  108. hwyl
    • one year ago
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    so your domain basically anything that the denominator will not be zero

  109. kohai
    • one year ago
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    So it can't be 2 or -2

  110. hwyl
    • one year ago
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    \(x^2 + 4 = 0 \) solve for x

  111. hwyl
    • one year ago
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    correct, so all real except for those two

  112. kohai
    • one year ago
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    How do I do that with notation?

  113. hwyl
    • one year ago
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    try

  114. kohai
    • one year ago
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    (-inf, -2] u [-2, 2] u [2, inf)

  115. hwyl
    • one year ago
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    \(x|x~ \epsilon~ \mathbb{R}, x \neq \pm 2 \)

  116. kohai
    • one year ago
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    I think my teacher wants me to use that stupid u thing

  117. hwyl
    • one year ago
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    it is time for you to master it

  118. hwyl
    • one year ago
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    between pre-cal and cal, there's usually a program that helps you hone skills on logic and these notations

  119. hwyl
    • one year ago
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    inquire about it in your math department it will help a lot

  120. kohai
    • one year ago
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    Will do

  121. hwyl
    • one year ago
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    okay let us attempt to drive this home

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