F = {(x, y ) | x + y = 10}

Can we call this relation a Function ?

Question

F = {(x, y ) | x + y = 10}

Can we call this relation a Function ?

zzr0ck3r · Answer

yes, it is affine.

zzr0ck3r · Answer

y=10-x is a function...

zzr0ck3r · Answer

they are not independent 
if x =2
then y MUST = 8

anonymous · Answer

but how can you call it a function
there is no domain and range for it

zzr0ck3r · Answer

well, we are im sure talking about  the reals...

anonymous · Answer

if it is mentioned to be real numbered set then it is a function

zzr0ck3r · Answer

if someone asks
is y=2x a function?
the answer is yes
we assume they are talking about reals...

rsadhvika · Answer

thats in set notation, ive selected Function... but not sure so waiting to submit..

anonymous · Answer

ok ok

zzr0ck3r · Answer

the question should say
$$\{(x, y ) \in R^2| x + y = 10\}$$

zzr0ck3r · Answer

where R^2 is R cross R

rsadhvika · Answer

guess real numbered set is implicit here... so no problem wid function definition it seems  :) thanks a lot zz an dgiligails :))