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Adorkable
 3 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
 3 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.

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

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

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

hartnn
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1not quite sure im understanding.

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

hartnn
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1Okay I got everything except the f(7)

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

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

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

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

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

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

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

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

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

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

Adorkable
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1Would it be f(95)=f(11)=9 so far am i correct?

Adorkable
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1Thats impossible. Lol. Sorry but thankyou!

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.3lol. welcome ^_^ and yes, thats not required and not possible...
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