Function%20Families%20Spreadsheet(1)linear

Function%20Families%20Spreadsheet(1)linear - Linear...

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Unformatted text preview: Linear Functions: y = m x + b Select: m = 5/ 1 y = 5 x + 2 b = 2/ 1 x y 1st Difference 2nd Difference Ratios-10-48-9-43 5 0.89583333-8-38 5 0 0.88372093-7-33 5 0 0.86842105-6-28 5 0 0.84848485-5-23 5 0 0.82142857-4-18 5 0.7826087-3-13 5 0 0.72222222-2-8 5 0 0.61538462-1-3 5 0.375 2 5-0.6666667 1 7 5 3.5 2 12 5 0 1.71428571 3 17 5 0 1.41666667 4 22 5 0 1.29411765 5 27 5 0 1.22727273 6 32 5 0 1.18518519 7 37 5 1.15625 8 42 5 0 1.13513514 9 47 5 0 1.11904762 10 52 5 0 1.10638298-15-10-5 5 10 15-25-20-15-10-5 5 10 15 20 25 Linear Functions Select: a = 1/ 1 y = 1 x² + 0 x + 0 b = 0/ 1 c = 0/ 1 x y 1st Difference 2nd Difference Ratios-10 100-9 81-19 0.81-8 64-17 2 0.79012346-7 49-15 2 0.765625-6 36-13 2 0.73469388-5 25-11 2 0.69444444-4 16-9 2 0.64-3 9-7 2 0.5625-2 4-5 2 0.44444444-1 1-3 2 0.25-1 2 1 1 1 2 #DIV/0! 2 4 3 2 4 3 9 5 2 2.25 4 16 7 2 1.77777778 5 25 9 2 1.5625 6 36 11 2 1.44 7 49 13 2 1.36111111 8 64 15 2 1.30612245 9 81 17 2 1.265625 10 100 19 2 1.2345679 Quadratic Functions: y = ax 2 + bx + c x² + -10-8-6-4-2 2 4 6 8 10-80-60-40-20 20 40 60 80 Quadratic Functions Select: a = 1/ 1 y = 1 x³ + 0 x² + 0 x + 0 b = 0/ 1 c = 0/ 1 d = 0/ 1 x y 1st Difference 2nd Difference 3rd Difference Ratios-10-1000-9-729 271 0.729-8-512 217-54 0.702332-7-343 169-48 6 0.669922-6-216 127-42 6 0.629738-5-125 91-36 6 0.578704-4-64 61-30 6 0.512-3-27 37-24 6 0.421875-2-8 19-18 6 0.296296-1-1 7-12 6 0.125 1-6 6-0 1 1 1 6 #DIV/0! 2 8 7 6 6 8 3 27 19 12 6 3.375 4 64 37 18 6 2.37037 5 125 61 24 6 1.953125 6 216 91 30 6 1.728 7 343 127 36 6 1.587963 8 512 169 42 6 1.492711 9 729 217 48 6 1.423828 10 1000 271 54 6 1.371742 Cubic Functions: y = ax 3 + bx 2 + cx + d...
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Function%20Families%20Spreadsheet(1)linear - Linear...

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