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Math Help - Two quick questions.

  1. #1
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    Two quick questions.

    Right now were having a functions test soon, and i need quick help fast please


    One Q is :

    Explain, without graphing, why 2x^2 -1=y^2 is not a function, explain specifically what rule it breaks.


    2Q:
    Determine algebraically if the funciton is even,odd or neither. Justidy your answer.

    f(x)=2x^2 +1

    ( i know we have to do the f(-x) and -f(-x) stuff, but i dont understand how to do it)


    PLEASE HELP
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  2. #2
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    Quote Originally Posted by clearlyjunk View Post

    One Q is :

    Explain, without graphing, why 2x^2 -1=y^2 is not a function, explain specifically what rule it breaks.

    every x-value can only be mapped to one y-value


    2Q:
    Determine algebraically if the funciton is even,odd or neither. Justidy your answer.

    f(x)=2x^2 +1

    f(-x) = ?
    ...
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  3. #3
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    now i need only help on the second one.
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  4. #4
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    Quote Originally Posted by clearlyjunk View Post
    now i need only help on the second one.
    You have been given help on the second one! You need to go back and review the criterion for a function to be even if the hint given to you means nothing.
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  5. #5
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    Quote Originally Posted by skeeter View Post
    ...
    ...i was looking for more of an expanded explaination
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  6. #6
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    Quote Originally Posted by clearlyjunk View Post
    ...i was looking for more of an expanded explaination
    ... and I asked you to contribute to the problem by determining f(-x).
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  7. #7
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    Quote Originally Posted by skeeter and revised by Mr F View Post
    ... and I asked you to contribute to the solution by determining f(-x).
    Actually, I think you meant the above


    Note to the OP: When a hint is given, it's expected that you make an effort to use the hint.

    Edit: After sufficient time has passed to have properly thought about the hint I will re-open the thread.
    Last edited by mr fantastic; September 22nd 2009 at 04:43 PM.
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