IB math project
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Introduction
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My conjecture, for the function | |||||
Test
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n=3 | n=5 | ||||
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2) Fractions | |||||
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3) Negatives | |||||
| For all values of n in | ||||
4) Irrational Numbers | |||||
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| Bounds 0 to 2
| Bounds 1 to 2
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TEST | ||||||
Bounds 0 to 2
| Bounds 0 to 3
| Bounds 2 to 4
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My conjecture is valid for all functions of | ||||||
Middle
and 
, then my conjecture, of n to 1, holds true for all ratios between areas A and B.
...read more.
, then my conjecture, of n to 1, holds true for all ratios between areas A and B.For Negative Bounds:
Bounds –1 to 0
The conjecture of n:1 is the exact opposite for conjecture of the negatively bounded regions in quadrant III. (1:n)
If a set of positive bounds were to be changed to negative, then the ratio between A and B in the positive bounds would be equivalent to that of B and A in the negative bounds. (see diagram explanation below)
As mentioned in question 2, my conjecture, of n to 1, holds true for all ratios between areas A and B, if a<b; as long the function in question is Proof: | ||
With the function in question being | ||
Conclusion
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My conjecture, for the function | |||||
Test
Different Bounds | n=2 | n=5 | |||
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2) Fractions | |||||
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3) Bounds | |||||
Bounds 0 to 2 | Bounds 1 to 2 | ||||
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Proof: With the function in question being |
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This student written piece of work is one of many that can be found in our International Baccalaureate Maths section.
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