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Polynomials The

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Polynomials The Powered By Docstoc
					                    The Graph of a Polynomial
                   This graphing utility produces the graph
                   of any desired polynomial (up to 8th degree)
            y = c 0x 8+c 1x 7+c 2x 6+c 3x 5+c 4x 4+c 5x 3+c 6x 2+c 7x +c 8
           where c 0, c 1, c 2, c 3, c 4, c 5, c 6, c 7, c 8 are any coefficients
                  on any interval from x = a to x = b .

First enter the value for each of the coefficients in
        y = c 0x 8+ c 1x 7+ c 2x 6+ c 3x 5+ c 4x 4+ c 5x 3+ c 6x 2+ c 7x + c 8
           (Use 0's if you don't want some of the terms)

    c0 =      2
    c1 =      -1
    c2 =      5
    c3 =      -6
    c4 =      3
    c5 =      0
    c6 =      2
    c7 =      5
    c8 =      -4



Now enter the interval for x :
            xMin = -1
            xMax = 1




Click each item below for suggestions and investigations
         Item 1
         Item 2
         Item 3
Created by: Sheldon P. Gordon
            Farmingdale StateCollege
Development of this module was supported by the
NSF's Division of Undergraduate Education
under grants DUE-0310123 and DUE-0442160.
                                   12
                                   10
                                    8
                                    6
                                    4
                                    2
                                    0
          -2            -1         -2 0             1           2

                                   -4
                                   -6
                                   -8



The graph of y = 2.00x^8+-1.00x^7 + 5.00x^6+-6.00x^5 +3.00x^4 + 0.00x^3+2.00x^2 +5.00x+-4.00



           Select the point on the curve x 0 =       0.21

                                              121



         The value of the function at x 0 =          0.21
                                          is y = -2.91681
2 +5.00x+-4.00
x           y
   -1           10   DeltaX=            0.01
-0.99   9.0828838
-0.98   8.2102927
-0.97   7.3804122    Point
-0.96   6.5914915            0.21   -2.91681
-0.95    5.841842
-0.94   5.1298354
-0.93   4.4539017
-0.92   3.8125274
-0.91    3.204254
 -0.9   2.6276763
-0.89   2.0814405
-0.88   1.5642427
-0.87   1.0748275
-0.86   0.6119864
-0.85   0.1745563
-0.84   -0.238582
-0.83   -0.628505
-0.82   -0.996249
-0.81   -1.342808
 -0.8     -1.66914
-0.79   -1.976166
-0.78   -2.264767
-0.77   -2.535794
-0.76   -2.790061
-0.75   -3.028351
-0.74   -3.251415
-0.73   -3.459973
-0.72   -3.654716
-0.71   -3.836309
 -0.7   -4.005385
-0.69   -4.162554
-0.68   -4.308399
-0.67   -4.443479
-0.66   -4.568329
-0.65   -4.683461
-0.64   -4.789366
-0.63   -4.886511
-0.62   -4.975345
-0.61   -5.056296
 -0.6   -5.129774
-0.59   -5.196169
-0.58   -5.255855
-0.57   -5.309188
-0.56   -5.356507
-0.55   -5.398136
-0.54   -5.434385
-0.53   -5.465547
-0.52   -5.491903
-0.51     -5.51372
      -0.5    -5.53125
     -0.49   -5.544736
     -0.48   -5.554406
     -0.47   -5.560478
     -0.46   -5.563159
     -0.45   -5.562646
     -0.44   -5.559123
     -0.43   -5.552768
     -0.42   -5.543747
     -0.41   -5.532218
      -0.4   -5.518331
     -0.39   -5.502226
     -0.38   -5.484036
     -0.37   -5.463888
     -0.36      -5.4419
     -0.35   -5.418183
     -0.34   -5.392842
     -0.33   -5.365976
     -0.32   -5.337678
     -0.31   -5.308034
      -0.3   -5.277125
     -0.29   -5.245028
     -0.28   -5.211814
     -0.27   -5.177549
     -0.26   -5.142295
     -0.25    -5.10611
     -0.24   -5.069046
     -0.23   -5.031153
     -0.22   -4.992477
     -0.21   -4.953061
      -0.2   -4.912942
     -0.19   -4.872157
     -0.18   -4.830739
     -0.17   -4.788716
     -0.16   -4.746117
     -0.15   -4.702966
     -0.14   -4.659286
     -0.13   -4.615095
     -0.12   -4.570413
     -0.11   -4.525255
      -0.1   -4.479635
     -0.09   -4.433565
     -0.08   -4.387056
     -0.07   -4.340117
     -0.06   -4.292756
     -0.05   -4.244979
     -0.04   -4.196792
     -0.03   -4.148197
     -0.02      -4.0992
     -0.01      -4.0498
7.529E-16            -4
      0.01      -3.9498
0.02      -3.8992
0.03   -3.848198
0.04   -3.796793
0.05   -3.744983
0.06   -3.692766
0.07   -3.640137
0.08   -3.587095
0.09   -3.533636
 0.1   -3.479755
0.11   -3.425449
0.12   -3.370713
0.13   -3.315542
0.14   -3.259933
0.15   -3.203881
0.16   -3.147381
0.17   -3.090428
0.18   -3.033018
0.19   -2.975146
 0.2   -2.916808
0.21   -2.857998
0.22   -2.798712
0.23   -2.738945
0.24   -2.678693
0.25    -2.61795
0.26   -2.556714
0.27   -2.494977
0.28   -2.432736
0.29   -2.369987
 0.3   -2.306722
0.31   -2.242939
0.32    -2.17863
0.33   -2.113791
0.34   -2.048415
0.35   -1.982496
0.36   -1.916027
0.37       -1.849
0.38   -1.781407
0.39   -1.713239
 0.4   -1.644488
0.41   -1.575141
0.42   -1.505188
0.43   -1.434615
0.44   -1.363408
0.45   -1.291553
0.46   -1.219031
0.47   -1.145824
0.48   -1.071912
0.49    -0.99727
 0.5   -0.921875
0.51   -0.845698
0.52    -0.76871
0.53   -0.690876
0.54   -0.612162
0.55   -0.532526
0.56   -0.451927
0.57   -0.370316
0.58   -0.287643
0.59   -0.203852
 0.6   -0.118881
0.61   -0.032667
0.62   0.0548634
0.63   0.1437858
0.64   0.2341833
0.65   0.3261455
0.66   0.4197688
0.67   0.5151569
0.68   0.6124213
0.69   0.7116818
 0.7   0.8130667
0.71   0.9167137
0.72   1.0227701
0.73   1.1313934
0.74   1.2427519
0.75   1.3570251
0.76   1.4744047
0.77   1.5950947
0.78   1.7193122
0.79   1.8472885
 0.8   1.9792691
0.81   2.1155148
0.82   2.2563023
0.83    2.401925
0.84    2.552694
0.85   2.7089384
0.86   2.8710066
0.87   3.0392669
0.88   3.2141085
0.89   3.3959424
 0.9   3.5852025
0.91   3.7823463
0.92   3.9878559
0.93   4.2022395
0.94   4.4260319
0.95   4.6597961
0.96   4.9041241
0.97   5.1596382
0.98   5.4269921
0.99   5.7068725
   1           6
1.01   6.3071305

				
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posted:11/11/2011
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