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Figuring out the domain of a function

Question by dmlaver1: What is an “Ordered Domain”, apparently integers and real numbers are examples of ordered domains.?
I’m reading a wonderful book on patternist philosophy but I’m having trouble with the concept of an “ordered Domain”. The author writes: “I mean a process whose inputs are processes and whos outputs are entities belonging to some ordered domain.” Any help would be greatly appreciated. Thanks.

Best answer:

Answer by Ben
This is a bit of a guess, but I would assume he means any set which has an ordering on it. That is, if you’re given a bunch of elements, you can list them in order. So the integers and reals are ordered, but the complex numbers and matrices are not (how do you decide if one matrix is “bigger” than another? You could make up some criterion, but there isn’t a generally accepted way to do it).

EDIT: I forgot to mention that it doesn’t seem like he’s using “domain” in the usual mathematical sense, just in a casual sense.

What do you think? Answer below!

25 Responses to “Domain of a functionWhat is an “Ordered Domain”, apparently integers and real numbers are examples of ordered domains.?”

  1. kwazy349 says:

    Thanks for the help!

  2. C3P0meetsData says:

    Sal has the sexiest voice ever.

  3. josuanette says:

    thank you so much sir . I am overwhelmed with your response. Now I know that zero is allowed but not n/0. I would like to be honest. This video helped me so much !!!

  4. helloXX9 says:

    @josuanette f(x) = x^2 Domain {x E (All reals)}
    the reason is f(0) = 0^2 = 0
    0 is a valid answer, if I were to graph this I would get (0,0) as a point

  5. josuanette says:

    Sir i am confused with the first example f(x)=x^2. What if you will solve for f(0) ? that would make it 0^2 which is = to 0 right? then the domain should be {xER ecept 0} is that correct. Pls help me iam confused. Thanks

  6. hellahulla says:

    This video is good, but the exercises to go with it are a little lacking challenge. They always produce the same general function, eg.
    f(x) = 1 / sqrt(5 – |x|)
    Always that kind, but with a different number to be subtracted from x. The answer is always the same pretty much. Maybe this could do with some work, when you have the time to do so :)
    Thanks again though for your great videos and service you are providing.

  7. agent2993 says:

    Hey sal can you please do a video on inverse functions…plz

  8. spikeyredcactus says:

    i dont understand near the end, for the absolute value of x, he says that x can be the same as -3 or less than. So if that is true for example, -4-3 = -7, which is a negetive number. How does this comply with the domain? thanks

  9. MrCoolguy6273 says:

    i got it till the end :S

  10. eeTTeeTTeeTT says:

    because in the question got the modules x , any x in the modules also will become positive value.

  11. mikedensity says:

    @Marco027 no, because absolute values do not have a negative value.

  12. Marco027 says:

    Im sorry wouldnt X<-3 in the absolute value one..be wrong though..becuase.. you cant have any negative inside the square root..?

  13. IRAQINBK says:

    he uses a pen tablet

  14. Rje3lawara says:

    THANKS very very much really helpfull!!

  15. sue69696 says:

    thx alot u explain very nicely
    u should procceed u will help alot of ppl

  16. albertbeccu says:

    Thanks a lot! :-)

  17. astt171 says:

    Thank you so much for your helpful videos. I do not know how to thank you.
    All I can say is that you are amazing.

  18. fdxnaoseinomes says:

    Thanks khan you helped me once again!
    We learn a lot in your videos, great job you do +5*

  19. NorwegianNightmare88 says:

    how do you write so good with a mouse on the computer?!?!?!?!?

  20. Mejiera12 says:

    8bit nice one catching that

  21. limon914 says:

    Very helpful, thanks!

  22. Archer6633 says:

    If it only was recorded by a camera.. you would rock..!

  23. mack520 says:

    hey mon- where do we send money? Paypal?

  24. VFCfuturelove1 says:

    crap I CANT FIND WUT I WANT!!.. so my homework goes a little like this ..Find the range(dependent),R, of every funcion given the domain (independent),D.then here’s #9-f(x)=x(cubed)+3 then to the side D={-3,0,3}..HELP?!?!=[..don't get it..i have 2 turn this in 2morrow..will make sure 2 pay attention in class latr..bt for now HELP PLEASE!!=]

  25. jokersnkings says:

    hey i have a problem that i reely dont get…..f{x} = kx/3x+5, x does not equal negative 5/3 and f{f{x}} =x satifies f{x} for all real vaulues of x expect negative 5/3 what is the value of k

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