A community for students.
Here's the question you clicked on:
 0 viewing
Adorkable
 2 years ago
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.
Adorkable
 2 years ago
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.

This Question is Closed

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3since the function is periodic with period 12, f(43) = f(4312) = f(31), did u get this ?

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1I 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) ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3f(31) = f(3112) = f(311212) and so on...

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1Woah. Why would you subtract 12 twice or more times? And what do we figure out when we do that?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3because for every interval of 12, the function has same value.... so if i add or subtract 12, the value of function is same \(f(x\pm 12 )= f(x)\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3more specifically \(f(x\pm n*12 )= f(x)\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3n can be any natural number .

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3so, f(43) = f(4312) = f(31) = f(3112) =.... do this till u get something you know the value of.

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1not quite sure im understanding.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3f(43) = f(31) u got this ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3well, i'll write out steps, see if u get it \(f(43)=f(4312)=f(31)=f(3112)=f(19)=f(1912)=f(7)=2\)

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1Okay I got everything except the f(7)

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1Because 1912 equals 7 but, then 712 is equal to 5

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3but u already have f(7) = 2 so u get f(43) = 2

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3and yes, f(5) also equals 2

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1sotheanswer coulve been 5 or 2?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3no, not 5 . f(43) = f(7) = 2

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1hmm. Can we try another example please? say f(1)?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3for the same periodic function ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3ok, f(1) = f(1+12) = ?

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1So it can be plus or minus?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3its f(11) yes, + or 12 ...

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1Okay. 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.

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1Would it be f(95)=f(11)=9 so far am i correct?

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1Okay! Thank you once again so much for your patience and time!! Im going to best response all your answers!

Adorkable
 2 years ago
Best ResponseYou've already chosen the best response.1Thats impossible. Lol. Sorry but thankyou!

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.3lol. welcome ^_^ and yes, thats not required and not possible...
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.