anonymous
  • anonymous
state the domain and range f(x)=2(1/3)^x
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
domain all of real range is positive R
anonymous
  • anonymous
howd you get that?
anonymous
  • anonymous
all the possible values of x which satisfies the relation will give you the domain.. n for every x the outcome gives you the range

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anonymous
  • anonymous
Basically you're looking for disallowed values for x. If for example you had \(\sqrt{x}\) for your function you would know that negative numbers for x are not allowed. If you had \(\frac{4}{x}\) then 0 would not be allowed. If you had \(\sqrt{5-x}\) then your domain would be numbers less than or equal to 5. etc
anonymous
  • anonymous
shouldnt they be numbers?
anonymous
  • anonymous
The domain and range are sets of numbers. There are many values you can plug in for x and get many different values for the function.
anonymous
  • anonymous
so why is the domain and range not numbers?
anonymous
  • anonymous
it is a set of numbers
anonymous
  • anonymous
????
anonymous
  • anonymous
you dont understand what is meant by a "set of numbers"??
anonymous
  • anonymous
i just dont understand what your saying
anonymous
  • anonymous
{1, 2, 3.4, 15} is a set of 4 numbers. (-5,1) is a set of infinitely many numbers between -5 and 1, but not including -5 or 1
anonymous
  • anonymous
i get that!!! I just dont understand the domain and range
anonymous
  • anonymous
Well the domain is just a set of numbers that are 'legal' to plug in for x.
anonymous
  • anonymous
If your function is well behaved (doesn't divide or take the square root) then anything is legal. Otherwise you might have to restrict what x can be. If you divide by x, then x cannot be 0. If you divide by x+3 then x cannot be -3. If you take the square root of x, then x cannot be negative, etc.
anonymous
  • anonymous
i dont get it
anonymous
  • anonymous
Can you take the square root of a negative number?
anonymous
  • anonymous
(and get a real result)
anonymous
  • anonymous
I have to go, but we can talk about it another time if you like.
anonymous
  • anonymous
margaret are you aware of complex numbers?
anonymous
  • anonymous
no im not of complex numbers

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