for which of the following functions is f(x)=f(x-1)?
a) f(x)=x^2(1-x)^2
b) f(x)=1-x
c) f(x)=1-x^2

Thanks,

why don't you try putting some specific examples into the functions?

e.g.

a) f(2) = 4 x 1 = 4
f(2-1) = 1 x 0 = 0
so a doesn't satisfy f(x)=f(x-1)

Or do I misunderstand the question?

You simply substitute the equations:

For example, in B we have f(x)=1-x, substituted gives you 1-(x-1), which = 1-x+1 = 2-x. So this isn't the answer.

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This question is actually a very popular question to give, but it's always f(x) = f(1-x), and the answer would be A. Are you sure you wrote it the right way? Because I did all A, B, and C, and none of them worked. Are there more choices? Did you write it correctly?

Eura,I don't see why the reddie my answer is not wrong merely incomplete and I thought we were meant to give pointers not answers.

Awr83, I agree with eura's last point I also think none of them work and you may have posted an incorrect or incomplete question...

Quote:

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Originally Posted by v1033

eura,i don't see why the reddie my answer is not wrong mearly incomplete

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Even if it is incomplete, it's going in the wrong direction. I don't mean to be a negative nancy, but I am a High School Math Teacher and I taught this lesson not even 3 weeks ago.

Then you may know of john mason's research that when stuck on a maths problem; specialising can help you on the way to generalising, which was the direction I was going in...

I was in a bad mood when I wrote all this earlier. Your way (using examples) will work just fine.

I'll give you 2 positives to counter the negative comment.