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Math Help - theory of sequences and series

  1. #1
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    theory of sequences and series

    I learnt that one precondition for y=f(x) was, that to each x-value only one single y value is assigned, so that no double solution are accepted.
    Imagine now
    -y(y+8)=(x-3)^2 -8. This fuction will result in a circle, which means that to some x values, two y values are assigned.
    How ist that possible, respectively, did i missunderstood the rules concerning functions?
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  2. #2
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    Quote Originally Posted by Schdero View Post
    I learnt that one precondition for y=f(x) was, that to each x-value only one single y value is assigned, so that no double solution are accepted.
    Imagine now
    -y(y+8)=(x-3)^2 -8. This fuction will result in a circle, which means that to some x values, two y values are assigned.
    How ist that possible, respectively, did i missunderstood the rules concerning functions?
    -y(y+8)=(x-3)^2 -8 is an equation but not a function. Your condition for function is valid. I don't know what this has to do with theory of sequences and series though.
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