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qwerties

  • 2 years ago

Apologize for troll, but I have one question...

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  1. qwerties
    • 2 years ago
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    Once I plot y = x^y, I notice that it does not pass vertical line, hence not function. i dont understand one thing... it can be rewrite as y = x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x^x... why is it not function?

  2. qwerties
    • 2 years ago
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    y = x is function, y = x^x is function, y = x^x^x is function too and so on. why isnt y=x^y function?

  3. etemplin
    • 2 years ago
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    i think because to re-write that, you plug the function into itself, which doesnt work

  4. lgbasallote
    • 2 years ago
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    whoever said y = x^y isn't a function?

  5. qwerties
    • 2 years ago
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    Well, it doesnt follow the pattern (see my second reply) if the number of exponent is finite, it is function, otherwise its not. why?

  6. qwerties
    • 2 years ago
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    @lgbasallote plot it yourself and you can notice it doesnt pass vertical line test

  7. lgbasallote
    • 2 years ago
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    if you try to solve for x y = ylnx y/y = lnx 1 = lnx can you now see why it's not a function?

  8. qwerties
    • 2 years ago
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    should have thought of that. thanks

  9. hartnn
    • 2 years ago
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    what the ... ?

  10. lgbasallote
    • 2 years ago
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    but seriously...who said it isn't a function?

  11. hartnn
    • 2 years ago
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    ln y = ylnx

  12. lgbasallote
    • 2 years ago
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    and...what did i just do?

  13. qwerties
    • 2 years ago
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    @lgbasallote well, it isnt, right?

  14. qwerties
    • 2 years ago
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    you just proved this.

  15. lgbasallote
    • 2 years ago
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    @hartnn exactly..that's why i'm wondering why qwerties is saying it isn't a function

  16. qwerties
    • 2 years ago
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    wait...

  17. lgbasallote
    • 2 years ago
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    @qwerties i manipulated my algebra to make it look like not a function

  18. lgbasallote
    • 2 years ago
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    but if you look carefully there is a fallacy in my solution

  19. qwerties
    • 2 years ago
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    well, it doesnt pass vertical test. can you explain it?

  20. qwerties
    • 2 years ago
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    if it doesnt pass vertical line test, is it mean it still can be function?

  21. lgbasallote
    • 2 years ago
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    y = x^y according to my math vocabulary is what others call a recursive "function"

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