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Thread: VCE Maths questions help

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    Re: VCE Maths questions help

    Assuming the natural domain; i.e. largest set of values of x that is allowed. For this question, where presumably we are dealing with a real function, it is all real values except x = -2; when x = -2, you will have a division by zero - which is a Cardinal sin in maths. The corresponding range is all y > 2; i.e. all real numbers greater than 2.
    Last edited by Drongoski; 14 May 2017 at 2:40 PM.
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    Re: VCE Maths questions help

    Quote Originally Posted by Drongoski View Post
    Assuming the natural domain; i.e. largest set of values of x that is allowed. For this question, where presumably we are dealing with a real function, it is all real values except x = -2; when x = -2, you will have a division by zero - which is a Cardinal sin in maths. The corresponding range is all y > 2; i.e. all real numbers greater than 2.
    is there any other domain possible?

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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    is there any other domain possible?
    Yes. What Drongoski gave is the natural domain (assuming we are dealing with functions of a real variable). You can read up about this here: https://en.wikipedia.org/wiki/Domain...Natural_domain .

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    Re: VCE Maths questions help

    How should I prepare for my maths application task, which is in a week.?

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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    How should I prepare for my maths application task, which is in a week.?
    any thoughts?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    any thoughts?
    Revise through the content and make sure you're thorough with all of em.
    spam past papers and learn from any questions that you answered incorrectly.
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    Re: VCE Maths questions help

    y = 2/(x+2)^2 + 2
    Domain = R\(-2)
    Range = R\(2)
    Are these right
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    Re: VCE Maths questions help

    Quote Originally Posted by jathu123 View Post
    Revise through the content and make sure you're thorough with all of em.
    spam past papers and learn from any questions that you answered incorrectly.
    Will doing chapter review from the textbook be beneficial
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    Will doing chapter review from the textbook be beneficial
    yeah I guess, but I'd prefer past papers as it more closely resembles the actual exam. Doing them in exam conditions would be a good idea
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    y = 2/(x+2)^2 + 2
    Domain = R\(-2)
    Range = R\(2)
    Are these right
    Anyone?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    y = 2/(x+2)^2 + 2
    Domain = R\(-2)
    Range = R\(2)
    Are these right
    Quote Originally Posted by boredsatan View Post
    Anyone?
    The domain is correct, but the range is not.

    (And the 2 and -2 should be written in curly brackets, like {-2}.)
    Last edited by InteGrand; 15 May 2017 at 7:08 PM.

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    Re: VCE Maths questions help

    Quote Originally Posted by InteGrand View Post
    The domain is correct, but the range is not.

    (And the 2 and -2 should be written in curly brackets, like {-2}.)
    How would the range be written as?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    How would the range be written as?
    You said the range is all real numbers excluding 2. But this is not correct. Can you see why?

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    Re: VCE Maths questions help

    Quote Originally Posted by InteGrand View Post
    You said the range is all real numbers excluding 2. But this is not correct. Can you see why?
    I'm a bit confused, because if the domain works like that, then shouldn't the range work like that as well?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    I'm a bit confused, because if the domain works like that, then shouldn't the range work like that as well?

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    Re: VCE Maths questions help

    Quote Originally Posted by leehuan View Post
    So what would the actual range be?
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    Re: VCE Maths questions help

    How do you graph y = c?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    How do you graph y = c?
    Horizontal line through the point (0, c).

    (Where the x-axis is the horizontal axis and the y-axis is the vertical axis, as usual.)

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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    So what would the actual range be?
    If you can't tell by inspection, better sketch it

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    Re: VCE Maths questions help

    could it be (2,infinity), even though the graph never touches 2?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    could it be (2,infinity), even though the graph never touches 2?
    Yeah that's the range. And it's because the graph doesn't touch 2 that we put an open bracket around the 2.

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    Re: VCE Maths questions help

    Quote Originally Posted by InteGrand View Post
    Yeah that's the range. And it's because the graph doesn't touch 2 that we put an open bracket around the 2.
    so if the graph was y = 2/(x+2)^2 + 3, the range would be (3,infinity) and so on
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    so if the graph was y = 2/(x+2)^2 + 3, the range would be (3,infinity) and so on
    Would it be open brackets around both 2 and infinity?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    so if the graph was y = 2/(x+2)^2 + 3, the range would be (3,infinity) and so on
    Yes

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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    Would it be open brackets around both 2 and infinity?
    Yes (for y = 2/[(x+2)2] + 2).

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