Espressione 52: "x" equals StartFraction, 1 Over 12 , EndFraction left parenthesis, "y" plus 1 , right parenthesis squared plus 5.3 8 left brace, negative 0.7 5 less than or equal to "y" less than or equal to 0.9 6 , right bracex=112y+12+5.38−0.75≤y≤0.96
52
Espressione 53: "x" equals 1 ninth left parenthesis, "y" plus 1 , right parenthesis squared plus 5.7 left brace, negative 0.7 5 less than or equal to "y" less than or equal to 0.7 8 , right bracex=19y+12+5.7−0.75≤y≤0.78
53
Espressione 54: "x" equals negative StartFraction, 1 Over 12 , EndFraction left parenthesis, "y" plus 1 , right parenthesis squared plus 10.9 2 left brace, negative 0.7 5 less than or equal to "y" less than or equal to 0.9 6 , right bracex=−112y+12+10.92−0.75≤y≤0.96
54
Espressione 55: "x" equals negative 1 ninth left parenthesis, "y" plus 1 , right parenthesis squared plus 10.6 1 left brace, negative 0.7 5 less than or equal to "y" less than or equal to 0.7 8 , right bracex=−19y+12+10.61−0.75≤y≤0.78
55
Espressione 56: "y" equals 3 halves StartRoot, left parenthesis, StartFraction, 1 Over 18 , EndFraction minus left parenthesis, "x" minus 6.2 5 , right parenthesis squared , right parenthesis , EndRoot minus 0.0 7 5y=32118−x−6.252−0.075
56
Espressione 57: "y" equals negative 3 halves StartRoot, left parenthesis, StartFraction, 1 Over 18 , EndFraction minus left parenthesis, "x" minus 6.2 5 , right parenthesis squared , right parenthesis , EndRoot minus 0.0 7 5y=−32118−x−6.252−0.075
57
Espressione 58: "y" equals 3 halves StartRoot, left parenthesis, StartFraction, 1 Over 18 , EndFraction minus left parenthesis, "x" minus 10.0 6 , right parenthesis squared , right parenthesis , EndRoot minus 0.0 7 5y=32118−x−10.062−0.075
58
Espressione 59: "y" equals negative 3 halves StartRoot, left parenthesis, StartFraction, 1 Over 18 , EndFraction minus left parenthesis, "x" minus 10.0 6 , right parenthesis squared , right parenthesis , EndRoot minus 0.0 7 5y=−32118−x−10.062−0.075
59
Espressione 60: "y" equals StartRoot, 3 quarters left parenthesis, 13.5 minus left parenthesis, "x" plus 8.1 7 , right parenthesis squared , right parenthesis , EndRooty=3413.5−x+8.172
60
Espressione 61: "y" equals negative StartRoot, 3 quarters left parenthesis, 13.5 minus left parenthesis, "x" plus 8.1 7 , right parenthesis squared , right parenthesis , EndRooty=−3413.5−x+8.172
61
Espressione 62: "y" equals 1 sixth left parenthesis, "x" plus 8.1 2 , right parenthesis Superscript, 2 , Baseline minus 2.8 left brace, negative 1.5 greater than or equal to "y" , right bracey=16x+8.122−2.8−1.5≥y
62
Espressione 63: "x" equals 10 left parenthesis, "y" plus 1.3 , right parenthesis cubed negative 5.3 left brace, negative 8.1 2 less than or equal to "x" less than or equal to negative 5.3 , right bracex=10y+1.33−5.3−8.12≤x≤−5.3
63
Espressione 64: "x" equals negative 10 left parenthesis, "y" plus 1.3 , right parenthesis cubed negative 10.9 3 left brace, negative 10.9 3 less than or equal to "x" less than or equal to negative 8.1 2 , right bracex=−10y+1.33−10.93−10.93≤x≤−8.12
64
Espressione 65: "y" equals StartAbsoluteValue, "x" plus 8.1 2 , EndAbsoluteValue minus 2 left brace, negative 1.6 less than or equal to "y" less than or equal to negative 1.5 , right bracey=x+8.12−2−1.6≤y≤−1.5
65
Espressione 66: "y" equals negative 1 left brace, negative 11 less than or equal to "x" less than or equal to negative 9.5 , right bracey=−1−11≤x≤−9.5
66
Espressione 67: "y" equals negative 1 left brace, negative 7 less than or equal to "x" less than or equal to negative 5.5 , right bracey=−1−7≤x≤−5.5
67
Espressione 68: "y" equals negative 2 left parenthesis, "x" plus 6.2 5 , right parenthesis squared plus 1.2 5 left brace, negative 0.4 less than or equal to "y" , right bracey=−2x+6.252+1.25−0.4≤y
68
Espressione 69: "y" equals negative 2 left parenthesis, "x" plus 10.2 5 , right parenthesis squared plus 1.2 5 left brace, negative 0.4 less than or equal to "y" , right bracey=−2x+10.252+1.25−0.4≤y
69
Espressione 70: "y" equals 2 left parenthesis, "x" plus 6.2 5 , right parenthesis squared minus 2.1 left brace, negative 1 less than or equal to "y" less than or equal to negative 0.4 , right bracey=2x+6.252−2.1−1≤y≤−0.4
70
Espressione 71: "y" equals 2 left parenthesis, "x" plus 10.2 5 , right parenthesis squared minus 2.1 left brace, negative 1 less than or equal to "y" less than or equal to negative 0.4 , right bracey=2x+10.252−2.1−1≤y≤−0.4
71
Espressione 72: "x" equals negative StartFraction, 1 Over 10 , EndFraction left parenthesis, "y" plus 1 eighth , right parenthesis squared minus 6.3 left brace, 1.1 4 greater than or equal to "y" greater than or equal to negative 1 , right bracex=−110y+182−6.31.14≥y≥−1
72
Espressione 73: "x" equals StartFraction, 1 Over 10 , EndFraction left parenthesis, "y" plus 1 eighth , right parenthesis squared minus 10.2 left brace, 1.1 4 greater than or equal to "y" greater than or equal to negative 1 , right bracex=110y+182−10.21.14≥y≥−1
73
Espressione 74: "y" equals 4 thirds StartRoot, left parenthesis, StartFraction, 1 Over 20 , EndFraction minus left parenthesis, "x" plus 9.9 , right parenthesis squared , right parenthesis , EndRoot plus 0.4 6 6y=43120−x+9.92+0.466
74
Espressione 75: "y" equals negative 4 thirds StartRoot, left parenthesis, StartFraction, 1 Over 20 , EndFraction minus left parenthesis, "x" plus 9.9 , right parenthesis squared , right parenthesis , EndRoot plus 0.4 6 6y=−43120−x+9.92+0.466
75
Espressione 76: "y" equals 4 thirds StartRoot, left parenthesis, StartFraction, 1 Over 20 , EndFraction minus left parenthesis, "x" plus 6.6 , right parenthesis squared , right parenthesis , EndRoot plus 0.4 6 6y=43120−x+6.62+0.466
76
Espressione 77: "y" equals negative 4 thirds StartRoot, left parenthesis, StartFraction, 1 Over 20 , EndFraction minus left parenthesis, "x" plus 6.6 , right parenthesis squared , right parenthesis , EndRoot plus 0.4 6 6y=−43120−x+6.62+0.466
77
Espressione 78: "y" equals 1 half left parenthesis, "x" plus 6.7 , right parenthesis squared minus 0.3 left brace, negative 7.1 1 less than or equal to "x" less than or equal to negative 6.3 4 , right bracey=12x+6.72−0.3−7.11≤x≤−6.34
78
Espressione 79: "y" equals 1 half left parenthesis, "x" plus 9.7 5 , right parenthesis squared minus 0.3 left brace, negative 10.1 6 less than or equal to "x" less than or equal to negative 9.3 9 , right bracey=12x+9.752−0.3−10.16≤x≤−9.39
79
Espressione 80: "y" equals negative 1.7 left parenthesis, "x" plus 6.2 5 , right parenthesis squared plus 1.6 left brace, negative 6.5 greater than or equal to "x" greater than or equal to negative 6.8 , right bracey=−1.7x+6.252+1.6−6.5≥x≥−6.8
80
Espressione 81: "y" equals negative 1.7 left parenthesis, "x" plus 10.2 5 , right parenthesis squared plus 1.6 left brace, negative 9.7 greater than or equal to "x" greater than or equal to negative 10 , right bracey=−1.7x+10.252+1.6−9.7≥x≥−10
81
Espressione 82: "y" equals StartRoot, left parenthesis, 3 squared minus "x" squared , right parenthesis , EndRoot plus 11y=32−x2+11
82
Espressione 83: "y" equals negative StartRoot, left parenthesis, 3 squared minus "x" squared , right parenthesis , EndRoot plus 11y=−32−x2+11
83
Espressione 84: "y" equals 11 left brace, negative 3 quarters greater than or equal to "x" greater than or equal to negative 3 , right bracey=11−34≥x≥−3
84
Espressione 85: "y" equals 11 left brace, 3 greater than or equal to "x" greater than or equal to 3 quarters , right bracey=113≥x≥34
85
Espressione 86: "y" equals StartRoot, left parenthesis, 1 half minus "x" squared , right parenthesis , EndRoot plus 11y=12−x2+11
86
Espressione 87: "y" equals negative StartRoot, left parenthesis, 1 half minus "x" squared , right parenthesis , EndRoot plus 11y=−12−x2+11
87
Espressione 88: "y" equals 15 left brace, 6 less than or equal to "x" less than or equal to 10 , right bracey=156≤x≤10
88
Espressione 89: "y" equals 12 left brace, 8.5 less than or equal to "x" less than or equal to 11 , right bracey=128.5≤x≤11
89
Espressione 90: "y" equals 10 left brace, 4.8 less than or equal to "x" less than or equal to 7 , right bracey=104.8≤x≤7
90
Espressione 91: "y" equals 2 "x" minus 5 left brace, 15 greater than or equal to "y" greater than or equal to 12 , right bracey=2x−515≥y≥12
91
Espressione 92: "y" equals 4 "x" minus 9 left brace, 10 less than or equal to "y" less than or equal to 15 , right bracey=4x−910≤y≤15
92
Espressione 93: "y" equals 1.5 "x" minus 4.5 left brace, 12 greater than or equal to "y" greater than or equal to 3.7 , right bracey=1.5x−4.512≥y≥3.7
93
Espressione 94: "y" equals 4 "x" minus 18 left brace, 10 greater than or equal to "y" greater than or equal to 3.7 , right bracey=4x−1810≥y≥3.7
94
Espressione 95: "y" equals 15 left brace, negative 6 greater than or equal to "x" greater than or equal to negative 10 , right bracey=15−6≥x≥−10
95
Espressione 96: "y" equals 12 left brace, negative 8.5 greater than or equal to "x" greater than or equal to negative 11 , right bracey=12−8.5≥x≥−11
96
Espressione 97: "y" equals 10 left brace, negative 4.8 greater than or equal to "x" greater than or equal to negative 7 , right bracey=10−4.8≥x≥−7
97
Espressione 98: "y" equals negative 2 "x" minus 5 left brace, 15 greater than or equal to "y" greater than or equal to 12 , right bracey=−2x−515≥y≥12
98
Espressione 99: "y" equals negative 4 "x" minus 9 left brace, 10 less than or equal to "y" less than or equal to 15 , right bracey=−4x−910≤y≤15
99
Espressione 100: "y" equals negative 1.5 "x" minus 4.5 left brace, 12 greater than or equal to "y" greater than or equal to 3.7 , right bracey=−1.5x−4.512≥y≥3.7
100
Espressione 101: "y" equals negative 4 "x" minus 18 left brace, 10 greater than or equal to "y" greater than or equal to 3.7 , right bracey=−4x−1810≥y≥3.7
101
Espressione 102: "y" less than StartRoot, left parenthesis, 3 squared minus "x" squared , right parenthesis , EndRoot plus 11 left brace, 11 less than or equal to "y" less than or equal to 14 , right bracey<32−x2+1111≤y≤14
102
Espressione 103: "x" squared positive left parenthesis, "y" minus 11 , right parenthesis squared less than .5x2+y−112<.5
103
Espressione 104: "x" squared positive left parenthesis, "y" minus 11 , right parenthesis squared greater than .5x2+y−112>.5
104
105
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Esempi
Rette: forma esplicita
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Rette: equazione per un punto
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Rette: equazione per due punti
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Parabole: equazione standard
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Parabole: equazione al vertice
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Parabole: equazione standard + tangente
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Trigonometria: periodo e ampiezza
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Trigonometria: fase
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Trigonometria: interferenza
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Trigonometria: circonferenza unitaria
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Sezioni coniche: circonferenza
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Sezioni coniche: parabola e fuoco
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Sezioni coniche: ellisse e fuochi
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Sezioni coniche: iperbole
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Coordinate polari: rodonea
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Coordinate polari: spirale logaritmica
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Coordinate polari: chiocciola di Pascal
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Coordinate polari: sezioni coniche
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Equazione parametrica: introduzione
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Equazione parametrica: cicloide
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Trasformazioni: traslare una funzione
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Trasformazioni: omotetia di una funzione
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Trasformazioni: funzione Inversa
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Statistica: regressione lineare
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Statistica: il quartetto di Anscombe
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Statistica: polinomio di quarto grado
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Elenchi: famiglia delle onde sinusoidali
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Elenchi: curve stitching
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Elenchi: grafico di un elenco di punti
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Calcolo infinitesimale: derivate
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Calcolo infinitesimale: retta secante
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Calcolo infinitesimale: retta tangente
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Calcolo infinitesimale: sviluppo di Taylor di sin (x)
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Calcolo infinitesimale: integrali
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Calcolo infinitesimale: integrale con estremi regolabili
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Calcolo infinitesimale: teorema fondamentale del calcolo integrale