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# Graph Shapes C1 Watch

1. With regards to OCR (non-MEI), C1, in terms of graphs of the shape y=kx^n, which graphs do we actually need to be able to draw/recognize the shape of? Any real value of k is fine (just a stretch in the y-axis, or a reflection in the x-axis is k is negative); but if n is fractional, what possible values could the denominator take? I'm hoping just 2 ... And if n is negative, what values of n do we have to worry about?

Surely it's unreasonable to say that n can be anything rational - at least, that's a lot more than anything we learnt.
2. Why is this a problem? If n<1 then for x>1 the line will be less than kx, so just draw a curved line like that, and likewise, for n>1 just do an exponential curve, making sure both of of these cross (1,k).
3. (Original post by Zephyr1011)
Why is this a problem? If n<1 then for x>1 the line will be less than kx, so just draw a curved line like that, and likewise, for n>1 just do an exponential curve, making sure both of of these cross (1,k).
What are the shapes for y=kx^(-1), y=kx^(-2), y=kx^(-3) etc. with comparison to y=kx^(-1/2), y=kx^(-3/2), y=kx^(-5/2), etc.? That's the first level of complication to deal with.
4. For any specific graphs you can just use wolfram alpha to compare them, but in general, with negative exponents, they will all go through (1,k) and will shrink faster for smaller values of n
5. (Original post by Zephyr1011)
For any specific graphs you can just use wolfram alpha to compare them, but in general, with negative exponents, they will all go through (1,k) and will shrink faster for smaller values of n
What if n is a negative fraction?
6. (Original post by Big-Daddy)
What if n is a negative fraction?
Then it will not shrink as fast as y=kx^-1

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