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jim_thompson5910Best ResponseYou've already chosen the best response.2
No it is not. You can pass a vertical line through it and it will pass through more than one point. So it fails the vertical line test.
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
okay ...what if i write it as function of y ..i mean just consider standard equation of ellipse and separate both the variables..like y in terms of x....so can't we call it function?
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
\[y=b * \sqrt (1x^2/a)\]
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
Circle (special type of ellipse) x^2 + y^2 = r^2 y^2 = r^2  x^2 y = +sqrt(r^2  x^2) y = sqrt(r^2  x^2) or y = sqrt(r^2  x^2)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
The last line gives it away that it can't be a function
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
okay...by the way what is the accurate and precised definition of function?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
A function is something that maps each input to EXACTLY ONE output
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
With ellipses and circles, inputs map to more than one output
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
well that is one one onto function
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
no, a one to one function is each input is mapped to one unique output
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
and what about many one?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
not sure what you mean
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
if you mean multiple inputs lead to the same output, then that's still a function
 one year ago

08bkrishnaBest ResponseYou've already chosen the best response.1
if you mean a manyttoone function, that is a proper function. a basic example would be x^2, where, e.g. 2 and 2 map to 4
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
it's a function if you only get one output per input
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
yes that's what i mean and @jim_thompson5910 if i pass a vertical line through a parabola still it cuts parabola at two points dw:1345840885553:dw isn't it a fucntion ...the equation of parabola?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
that's not a function since it fails the vertical line test
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
that's the equation x = y^2 or something similar to that
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
@jim_thompson5910 it could be a function if it gives you two output by one input as @08bkrishna said
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
btw, the parabola has to be upright to be a function Just because it's a parabola, it doesn't automatically make it a function
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
well x=y^2 is a parabola....no need to be upright
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
it isn't upright since it's sideways
 one year ago

TuringTestBest ResponseYou've already chosen the best response.0
in your example x is a function of y, but not vice versa
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
@eliassaab can you help with this...please ..and @jim_thompson5910 i said why do i need it to be upright? for considering it parabola?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
yes that terminology is correct TuringTest...but confusing because x is usually the input, which means that x=y^2 isn't a function
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
well jim ...i have to check this out...especially your definition of function....cuz i know there is many one into function in which one input leads to many output...
 one year ago

08bkrishnaBest ResponseYou've already chosen the best response.1
@ghazi, a many to one function is where more that one input leads to the same output. this is different to a one to many, where one input leads to multiple outputs. the former is considered an equation, while the latter isn't
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
The whole point of the function is to predict the output. But if you get more than one output, then which output will you choose? Ex: If I have a "function" of the price of a car (y) after some number of years (x), then which price will I choose if I get more than one outputs for a particular x value?
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
yea agreed...thank you...it was a big confusion....special thanks to @jim_thompson5910 , @08bkrishna
 one year ago

eliassaabBest ResponseYou've already chosen the best response.0
\[ \frac {x^2} {a^2}+\frac {y^2} {b^2}=1 \]
 one year ago

ghaziBest ResponseYou've already chosen the best response.1
is it a function or not?
 one year ago

eliassaabBest ResponseYou've already chosen the best response.0
For each value of x, except x=a or x=a, y has two values. So it is not a function.
 one year ago
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