Eric Nicholas K's answer to Rachel's Junior College 2 H2 Maths Singapore question.
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Here is an idea, since this function is recurring.
Date Posted:
4 years ago
Ohhhh ok got it! Thank you!
① 2017 ÷ 3 = 672 R 1
672 x 3 = 2016
2017 - 2016 = 1
So you can jump backwards 672 times and still get the same value of f as f(2017)
② f(2017) = f(1) = 3
672 x 3 = 2016
2017 - 2016 = 1
So you can jump backwards 672 times and still get the same value of f as f(2017)
② f(2017) = f(1) = 3
On a side note, this is also useful for questions like :
Find f^2003(x)
Find f^2003(x)
The first time I saw this was either during my O Levels or A Levels, I forgot which one (yes, functions were in the O Level syllabus for A Maths back then) and it took me some moments during the exam to realise what f(x) = f(x + 4) meant. So I learnt this one the hard way.
Your O level syllabus was probably 2007 and before. I know that they took it out from 2008 onwards.
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