# Periodic function problem

I can someone pleas help me with this problem? Thanks.

A periodic function f has a period of 12. If f(7)=-2 and f(11)=9, determine the value of f (43)

how do you do this?

Related Precalculus Mathematics Homework Help News on Phys.org
Well, 43 - 7 = 36.

dav2008
Gold Member
If f(x) has a period of a that means f(x)=f(x+na) where n is an integer.

Can you figure out the problem using that fact?

^ I don't get it can u show me an example?
or would it be like this

f(x)=f(x+na)
f (43)=f(7+12(-2))
f(43)=-17

dav2008
Gold Member
It just means that if the period is 12 then f(43)=f(43+n*12) where n is an integer.

So f(43)=f(43+12)=f(43-12)=f(43+24)...

In your example you say that f(43)=f(7+12(-2)). This is true but it means that f(43)=f(-17).

You are given f(7) and f(11). Can you relate one of those to f(43) somehow?

f(7)=-2

f(7)=(7+12+12+12)
=f(43)

so f(43)=-2

is that right, what about f(11)? or do i not need to use that?

dav2008
Gold Member
Yes that's right.

You found out f(43) so I don't know why you're worried about f(11).

^ ok, thanks