anonymous
  • anonymous
Apologize for troll, but I have one question...
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
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?
anonymous
  • anonymous
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?
anonymous
  • anonymous
i think because to re-write that, you plug the function into itself, which doesnt work

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lgbasallote
  • lgbasallote
whoever said y = x^y isn't a function?
anonymous
  • anonymous
Well, it doesnt follow the pattern (see my second reply) if the number of exponent is finite, it is function, otherwise its not. why?
anonymous
  • anonymous
@lgbasallote plot it yourself and you can notice it doesnt pass vertical line test
lgbasallote
  • lgbasallote
if you try to solve for x y = ylnx y/y = lnx 1 = lnx can you now see why it's not a function?
anonymous
  • anonymous
should have thought of that. thanks
hartnn
  • hartnn
what the ... ?
lgbasallote
  • lgbasallote
but seriously...who said it isn't a function?
hartnn
  • hartnn
ln y = ylnx
lgbasallote
  • lgbasallote
and...what did i just do?
anonymous
  • anonymous
@lgbasallote well, it isnt, right?
anonymous
  • anonymous
you just proved this.
lgbasallote
  • lgbasallote
@hartnn exactly..that's why i'm wondering why qwerties is saying it isn't a function
anonymous
  • anonymous
wait...
lgbasallote
  • lgbasallote
@qwerties i manipulated my algebra to make it look like not a function
lgbasallote
  • lgbasallote
but if you look carefully there is a fallacy in my solution
anonymous
  • anonymous
well, it doesnt pass vertical test. can you explain it?
anonymous
  • anonymous
if it doesnt pass vertical line test, is it mean it still can be function?
lgbasallote
  • lgbasallote
y = x^y according to my math vocabulary is what others call a recursive "function"

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