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qwertiesBest ResponseYou've already chosen the best response.0
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?
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
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?
 one year ago

etemplinBest ResponseYou've already chosen the best response.0
i think because to rewrite that, you plug the function into itself, which doesnt work
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
whoever said y = x^y isn't a function?
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
Well, it doesnt follow the pattern (see my second reply) if the number of exponent is finite, it is function, otherwise its not. why?
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
@lgbasallote plot it yourself and you can notice it doesnt pass vertical line test
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
if you try to solve for x y = ylnx y/y = lnx 1 = lnx can you now see why it's not a function?
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
should have thought of that. thanks
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
but seriously...who said it isn't a function?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
and...what did i just do?
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
@lgbasallote well, it isnt, right?
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
you just proved this.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
@hartnn exactly..that's why i'm wondering why qwerties is saying it isn't a function
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
@qwerties i manipulated my algebra to make it look like not a function
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
but if you look carefully there is a fallacy in my solution
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
well, it doesnt pass vertical test. can you explain it?
 one year ago

qwertiesBest ResponseYou've already chosen the best response.0
if it doesnt pass vertical line test, is it mean it still can be function?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
y = x^y according to my math vocabulary is what others call a recursive "function"
 one year ago
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