# Polynomials The by cuiliqing

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• pg 1
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
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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