rsadhvika
  • rsadhvika
F = {(x, y ) | x + y = 10} Can we call this relation a Function ?
Mathematics
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SOLVED
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chestercat
  • chestercat
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zzr0ck3r
  • zzr0ck3r
yes, it is affine.
zzr0ck3r
  • zzr0ck3r
y=10-x is a function...
zzr0ck3r
  • zzr0ck3r
they are not independent if x =2 then y MUST = 8

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anonymous
  • anonymous
but how can you call it a function there is no domain and range for it
zzr0ck3r
  • zzr0ck3r
well, we are im sure talking about the reals...
anonymous
  • anonymous
if it is mentioned to be real numbered set then it is a function
zzr0ck3r
  • zzr0ck3r
if someone asks is y=2x a function? the answer is yes we assume they are talking about reals...
rsadhvika
  • rsadhvika
thats in set notation, ive selected Function... but not sure so waiting to submit..
anonymous
  • anonymous
ok ok
zzr0ck3r
  • zzr0ck3r
the question should say \[\{(x, y ) \in R^2| x + y = 10\}\]
zzr0ck3r
  • zzr0ck3r
where R^2 is R cross R
rsadhvika
  • rsadhvika
guess real numbered set is implicit here... so no problem wid function definition it seems :) thanks a lot zz an dgiligails :))

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