Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Adorkable Group Title

Periodic Functuions. A periodic Function f(x) has a period of 12. If f(7)=-2 and f(11)=9, determine the value of f(43). Please explain thoroughly.

  • one year ago
  • one year ago

  • This Question is Closed
  1. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    since the function is periodic with period 12, f(43) = f(43-12) = f(31), did u get this ?

    • one year ago
  2. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think so. So if for example in the same context if the question was f(79) then it would be f(79 - 12) = f(67) ?

    • one year ago
  3. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    yes.

    • one year ago
  4. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    f(31) = f(31-12) = f(31-12-12) and so on...

    • one year ago
  5. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Woah. Why would you subtract 12 twice or more times? And what do we figure out when we do that?

    • one year ago
  6. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    because for every interval of 12, the function has same value.... so if i add or subtract 12, the value of function is same \(f(x\pm 12 )= f(x)\)

    • one year ago
  7. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    more specifically \(f(x\pm n*12 )= f(x)\)

    • one year ago
  8. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    n can be any natural number .

    • one year ago
  9. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    so, f(43) = f(43-12) = f(31) = f(31-12) =.... do this till u get something you know the value of.

    • one year ago
  10. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    not quite sure im understanding.

    • one year ago
  11. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    f(43) = f(31) u got this ?

    • one year ago
  12. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    no?

    • one year ago
  13. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    well, i'll write out steps, see if u get it \(f(43)=f(43-12)=f(31)=f(31-12)=f(19)=f(19-12)=f(7)=-2\)

    • one year ago
  14. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay I got everything except the f(7)

    • one year ago
  15. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Because 19-12 equals 7 but, then 7-12 is equal to -5

    • one year ago
  16. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    but u already have f(7) = -2 so u get f(43) = -2

    • one year ago
  17. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    and yes, f(-5) also equals -2

    • one year ago
  18. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    sotheanswer coulve been -5 or -2?

    • one year ago
  19. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    no, not -5 . f(43) = f(7) = -2

    • one year ago
  20. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm. Can we try another example please? say f(-1)?

    • one year ago
  21. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    for the same periodic function ?

    • one year ago
  22. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

    • one year ago
  23. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    ok, f(-1) = f(-1+12) = ?

    • one year ago
  24. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    11

    • one year ago
  25. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    So it can be plus or minus?

    • one year ago
  26. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    its f(11) yes, + or -12 ...

    • one year ago
  27. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    f(-1) = f(11) = 9

    • one year ago
  28. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay. I have an idea of what youre talking about. I'll try this one and can you see if it is correct for me? Same function.

    • one year ago
  29. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    f(95)

    • one year ago
  30. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, try it ..

    • one year ago
  31. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Would it be f(95)=f(11)=9 so far am i correct?

    • one year ago
  32. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, ver correct :)

    • one year ago
  33. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay! Thank you once again so much for your patience and time!! Im going to best response all your answers!

    • one year ago
  34. Adorkable Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Thats impossible. Lol. Sorry but thankyou!

    • one year ago
  35. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    lol. welcome ^_^ and yes, thats not required and not possible...

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.