anonymous
  • anonymous
How do you find the range of f(x,y)=ln(x+y-3)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The range depicts all possible values for f(x,y). I can't really tell you the range without knowing the domain.
anonymous
  • anonymous
the domain i got was \[x+y>3\]
anonymous
  • anonymous
The range should be -inf to inf.

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anonymous
  • anonymous
how can you tell?
anonymous
  • anonymous
ln of a number between 0 and e gives you a negative number. Between the range e to infinity, it gives you a positive number. etc. Does that help?
anonymous
  • anonymous
Kind of...is there any way to prove this algebraically?
anonymous
  • anonymous
Yes. The limit as x approaches 0 of ln(x) = -infinity. The limit as x approaches 1 of ln(x) is 0. The limit as x approaches infinity of ln(x) is infinity.

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