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{"sheet":"Coefficients","index":0,"n_rows":36,"n_cols":10,"rows_kept":36,"cut":false,"hidden":false,"merged":[]}
[null,null,null,"    Graphs of Cubic Functions"]
[]
[null,null,null,"    This program lets you investigate the"]
[null,null,null,"           behavior of cubic functions"]
[]
[]
[null,null,null,"  based on the values of a, b, c and d."]
[]
[]
[null,null,"What is the the value of  a (- 3 to 3)?",null,{"$f":"G10/10-3","v":0.10000000000000009},62,31]
[]
[null,null,"What is the the value of  b (- 5 to 5)?",null,{"$f":"G12/100-5","v":-0.50999999999999979},62,449]
[]
[null,null,"What is the the value of  c (- 5 to 5)?",null,{"$f":"G14/100-5","v":1.33},62,633]
[]
[null,null,"What is the the value of  d (- 5 to 5)?",null,{"$f":"G16/100-5","v":1.0499999999999998},62,605,null,null,{"$f":"\" y = \"&TEXT(a,\"0.0\")&\"x^3 + (\"&TEXT(b,\"0.00\")&  \")x^2 + (\"&TEXT(cc,\"0.00\")&\")x + (\"&TEXT(d,\"0.00\")&\")\"","v":" y = 0.1x^3 + (-0.51)x^2 + (1.33)x + (1.05)"}]
[null,null,null,null,null,null," "]
[]
[]
[]
[]
[]
[null,"Click each item below for suggestions and investigations"]
[null,null,null,"   Item 1"]
[null,null,null,"   Item 2"]
[null,null,null,"   Item 3"]
[null,null,null,"   Item 4"]
[null,null,null,"   Item 5"]
[]
[null,null,null,null,null,null,null," "]
[]
["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."]

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[null,null,null," Graphs of Cubic Functions"]
[]
[null,null,null," This program lets you investigate the"]
[null,null,null,"    behavior of the cubic function"]
[]
[]
[null,null,null,"       through four given points."]
[null,null,null,"(x1, y1),  (x2, y2),  (x3, y3) and  (x4, y4)"]
[]
[]
[null,null,"For the first point (x1, y1):"]
[null,null,null,"What is  x1  (1 to 5)?",null,{"$f":"G12/10-5","v":-2.1},29]
[]
[null,null,null,"What is  y1  (1 to 5)?",null,{"$f":"G14/10-10","v":-0.30000000000000071},97]
[]
[null,null,"For the second point (x2, y2):"]
[null,null,null,"What is  x2  (1 to 5)?",null,{"$f":"G17/10-5","v":-1.2999999999999998},37]
[]
[null,null,null,"What is  y2  (1 to 5)?",null,{"$f":"G19/10-10","v":1.0999999999999996},111]
[]
[null,null,"For the third point (x3, y3):"]
[null,null,null,"What is  x3  (1 to 5)?",null,{"$f":"G22/10-5","v":0.40000000000000036},54]
[]
[null,null,null,"What is  y3  (1 to 5)?",null,{"$f":"G24/10-10","v":-0.5},95]
[]
[null,null,"For the fourth point (x4, y4):"]
[null,null,null,"What is  x4  (1 to 5)?",null,{"$f":"G27/10-5","v":1.4000000000000004},64]
[]
[null,null,null,"What is  y4  (1 to 5)?",null,{"$f":"G29/10-10","v":-2.9000000000000004},71]
[]
[]
[null,"Click each item below for suggestions and investigations"]
[null,null,null,"   Item 1"]
[null,null,null,"   Item 2"]
[null,null,null,"   Item 3"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null," "]

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[null,"Coefficients"]
[]
[null,null,-4,{"$f":"a*C4^3+b*C4^2+cc*C4+d","v":-18.830000000000002},0,1]
[null,null,-1,{"$f":"a*C5^3+b*C5^2+cc*C5+d","v":-0.89000000000000012}]
[null,null,1,{"$f":"a*C6^3+b*C6^2+cc*C6+d","v":1.9700000000000002}]
[null,null,4,{"$f":"a*C7^3+b*C7^2+cc*C7+d","v":4.6100000000000092}]
[]
[]
[null,null,"Disc=",{"$f":"b^2-4*a*cc","v":-0.2719000000000007}]
[]
[null,"IP =",{"$f":"-b/3/a","v":1.6999999999999977},{"$f":"a*C12^3+b*C12^2+cc*C12+d","v":2.3283999999999998}]
[]
[]
[null,"4 Points"]
[]
[null,{"$f":"'4 Points'!F12","v":-2.1},{"$f":"'4 Points'!F14","v":-0.30000000000000071}]
[null,{"$f":"'4 Points'!F17","v":-1.2999999999999998},{"$f":"'4 Points'!F19","v":1.0999999999999996}]
[null,{"$f":"'4 Points'!F22","v":0.40000000000000036},{"$f":"'4 Points'!F24","v":-0.5}]
[null,{"$f":"'4 Points'!F27","v":1.4000000000000004},{"$f":"'4 Points'!F29","v":-2.9000000000000004}]

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