At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
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?
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?
i think because to re-write that, you plug the function into itself, which doesnt work
whoever said y = x^y isn't a function?
Well, it doesnt follow the pattern (see my second reply) if the number of exponent is finite, it is function, otherwise its not. why?
@lgbasallote plot it yourself and you can notice it doesnt pass vertical line test
if you try to solve for x y = ylnx y/y = lnx 1 = lnx can you now see why it's not a function?
should have thought of that. thanks
what the ... ?
but seriously...who said it isn't a function?
ln y = ylnx
and...what did i just do?
@lgbasallote well, it isnt, right?
you just proved this.
@hartnn exactly..that's why i'm wondering why qwerties is saying it isn't a function
@qwerties i manipulated my algebra to make it look like not a function
but if you look carefully there is a fallacy in my solution
well, it doesnt pass vertical test. can you explain it?
if it doesnt pass vertical line test, is it mean it still can be function?
y = x^y according to my math vocabulary is what others call a recursive "function"