C3 Modulus Domains and Ranges

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  1. CharlieBoardman's Avatar
    • Overlord in Training
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    C3 Modulus Domains and Ranges
    Title meant to say C3, not C2! Silly typo.

    I've just started self studying C3, and I'm not completely sure what domains and ranges exactly are. If I am given the domain of a function, how do I find the range?

    E.g The function f(x) is defined as follows: f(x)=\frac{1}{x+5}, domain x>-5
    What is the range of this function?

    And if I were to be given the range of a function, how would I find the domain?

    Thank you in advance
    Last edited by CharlieBoardman; 15-07-2012 at 12:43.
  2. Extricated's Avatar
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    Re: C2 Modulus Domains and Ranges
    Domains are the set of values that the x co-ordinates of the function can take, the range is the set of values that the y co-ordinates can take.

    In general, the range of the inverse function = the domain of the original function and the domain of the inverse function = the range of the original function.

    You could sketch that function and obtain the range from there.

    x> -5 therefore try different values close to -5 to get a rough idea
  3. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: C3 Modulus Domains and Ranges
    (Original post by CharlieBoardman)
    Title meant to say C3, not C2! Silly typo.

    I've just started self studying C3, and I'm not completely sure what domains and ranges exactly are. If I am given the domain of a function, how do I find the range?

    E.g The function f(x) is defined as follows: f(x)=\frac{1}{x+5}, domain x>-5
    What is the range of this function?

    And if I were to be given the range of a function, how would I find the domain?

    Thank you in advance
    Extricated has explained it well.

    To find the range of this function it will be better to sketch a graph.

     \text{Let } g(x) = \dfrac1{x}

    You will surely know how to sketch  g(x) and will be aware of its asymptotes.

     f(x) = g(x+5) = \dfrac1{x+5} , so  f(x) is a translation of  g(x) by 5 units to the left.
    Last edited by raheem94; 15-07-2012 at 14:54.
  4. CharlieBoardman's Avatar
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    • Location: Manchester
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    Re: C3 Modulus Domains and Ranges
    (Original post by Extricated)
    Domains are the set of values that the x co-ordinates of the function can take, the range is the set of values that the y co-ordinates can take.

    In general, the range of the inverse function = the domain of the original function and the domain of the inverse function = the range of the original function.

    You could sketch that function and obtain the range from there.

    x> -5 therefore try different values close to -5 to get a rough idea

    (Original post by raheem94)
    Extricated has explained it well.

    To find the range of this function it will be better to sketch a graph.

     \text{Let } g(x) = \dfrac1{x}

    You will surely know how to sketch  g(x) and will be aware of its asymptotes.

     f(x) = g(x+5) = \dfrac1{x+5} , so  f(x) is a translation of  g(x) by 5 units to the left.
    Thanks guys, it helped a lot! I understand now
  5. L'Evil Fish's Avatar
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    (Original post by CharlieBoardman)
    Thanks guys, it helped a lot! I understand now
    I've started C3 as well I'm on Compound Formulae now...
  6. CharlieBoardman's Avatar
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    Re: C3 Modulus Domains and Ranges
    (Original post by shadab786ahmed)
    I've started C3 as well I'm on Compound Formulae now...
    Awesome
  7. L'Evil Fish's Avatar
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    (Original post by CharlieBoardman)
    Awesome
    How's it cracking?
  8. CharlieBoardman's Avatar
    • Overlord in Training
    • Location: Manchester
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    Re: C3 Modulus Domains and Ranges
    (Original post by shadab786ahmed)
    How's it cracking?
    Quote me on the Year 11 thread, don't want to be spamming up the Maths Forum with general chit chat!
  9. L'Evil Fish's Avatar
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    • Location: Cardiff
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    (Original post by CharlieBoardman)
    Quote me on the Year 11 thread, don't want to be spamming up the Maths Forum with general chit chat!
    Okay
  10. sabre2th1's Avatar
    • Exalted and Worshipped Member
    • Location: Southampton
    • Posts: 1,046
    Re: C3 Modulus Domains and Ranges
    I struggled A LOT with domain and range in C3. i got some questions, but others proved too difficult. LUCKILY, in the January edexcel c3 exam, there was only ONE domain/range question (and it was 1 mark) so I didn't even bother to do it.. That said, only take my approach if you really find them difficult, (I seem to be the only one lol)
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