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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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.

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

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f(31) = f(31-12) = f(31-12-12) and so on...
Woah. Why would you subtract 12 twice or more times? And what do we figure out when we do that?
because for every interval of 12, the function has same value.... so if i add or subtract 12, the value of function is same \(f(x\pm 12 )= f(x)\)
more specifically \(f(x\pm n*12 )= f(x)\)
n can be any natural number .
so, f(43) = f(43-12) = f(31) = f(31-12) =.... do this till u get something you know the value of.
not quite sure im understanding.
f(43) = f(31) u got this ?
no?
well, i'll write out steps, see if u get it \(f(43)=f(43-12)=f(31)=f(31-12)=f(19)=f(19-12)=f(7)=-2\)
Okay I got everything except the f(7)
Because 19-12 equals 7 but, then 7-12 is equal to -5
but u already have f(7) = -2 so u get f(43) = -2
and yes, f(-5) also equals -2
sotheanswer coulve been -5 or -2?
no, not -5 . f(43) = f(7) = -2
hmm. Can we try another example please? say f(-1)?
for the same periodic function ?
yes
ok, f(-1) = f(-1+12) = ?
11
So it can be plus or minus?
its f(11) yes, + or -12 ...
f(-1) = f(11) = 9
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.
f(95)
yes, try it ..
Would it be f(95)=f(11)=9 so far am i correct?
yes, ver correct :)
Okay! Thank you once again so much for your patience and time!! Im going to best response all your answers!
Thats impossible. Lol. Sorry but thankyou!
lol. welcome ^_^ and yes, thats not required and not possible...

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