Question 1132994: Help we have been working on this question all day, please help
A periodic function has a period of 6. If f(3)=-1 and f(8)=5 Determine f(20) and f(-9)
Answer by greenestamps(13209)   (Show Source):
You can put this solution on YOUR website!
If a function is periodic with period 6, then if it is given that f(3) = -1, then the function value is also -1 for any input value that is any multiple of 3 less than or greater than 3. That is,
..., f(-15) = -1, f(-9) = -1, f(-3) = -1, f(9) = -1, f(15) = -1, ...
So there is the answer to one of your questions.
In a similar manner, what do you know about the values of f(8) and f(20)?
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Added in response to reader's question...
Yes. 20 = 8+2(6), so f(20) = f(8) = 5
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