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Math Help - partitions

  1. #1
    Junior Member
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    partitions

    Let f be the function defined by f(x)=x^2 +x and divide the interval [-1,2] into six subintervals of equal length.

    I am having trouble finding what those subintervals should be. Can someone please show me how you would find them?
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  2. #2
    Member mabruka's Avatar
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    Mexico City
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    Well hmm, i'll give you an idea you do the rest.


    Say we want to give a partition of [0,2] in 7 subintervals of equal length.

    First you need to know the length of the the original, in this case it would be 2.
    So if i want to divide it in 7 parts, each part needs to have length: 2/7

    So... the partition would be:


    [0,2/7],[2/7,4/7],[4/7,6/7],[6/7,8/7],[8/7,10/7],[10/7,12/7],[12/7,14/7]=[12/7,2]


    What about your interval?



    (Obs: The function f plays no role in finding a partition of equal length, UNLESS you need something else like piecewise-continuous or what ever.)
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