Find a function whose graph passes through the points in the following table. Represent the function symbolically
(-1, 200), (0, 100), (1, 50), (2, 25), (3 12.5), (4,6.25)
Function
2009-03-19 5:56 pm
回答 (2)
2009-03-19 7:09 pm
✔ 最佳答案
(-1, 200), (0, 100), (1, 50), (2, 25), (3 12.5), (4,6.25)log200=2+log2=2-(-1)log2
log100=2-0log2
log50=2-1*log2
log25=2-log4=2-2log2=2-|2|*log2
log12.5=log100-log8=2-|3|*log2
log6.25=log100-log16=2-|4|*log2
so logy=2-xlog2
2009-03-19 6:22 pm
This can be done by Lagrange's polynomial.
However, this function will be in the form of polynomial with degree 5
and the workings are quite messy.
However, this function will be in the form of polynomial with degree 5
and the workings are quite messy.
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