Espressione 40: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 64 left brace, 16 less than or equal to "y" less than or equal to 24 , right brace left brace, negative 23 less than or equal to "x" less than or equal to negative 15 , right bracex+152+y−162=6416≤y≤24−23≤x≤−15
40
Espressione 41: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 100 left brace, 16 less than or equal to "y" less than or equal to 26 , right brace left brace, negative 25 less than or equal to "x" less than or equal to negative 15 , right bracex+152+y−162=10016≤y≤26−25≤x≤−15
41
Espressione 42: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 49 left brace, 9 less than or equal to "y" less than or equal to 16 , right brace left brace, negative 23 less than or equal to "x" less than or equal to negative 16 , right bracex+162+y−162=499≤y≤16−23≤x≤−16
42
Espressione 43: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 81 left brace, 7 less than or equal to "y" less than or equal to 16 , right brace left brace, negative 25 less than or equal to "x" less than or equal to negative 16 , right bracex+162+y−162=817≤y≤16−25≤x≤−16
43
Espressione 44: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 36 left brace, 9 less than or equal to "y" less than or equal to 15 , right brace left brace, negative 16 less than or equal to "x" less than or equal to negative 10 , right bracex+162+y−152=369≤y≤15−16≤x≤−10
44
Espressione 45: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 64 left brace, 7 less than or equal to "y" less than or equal to 15 , right brace left brace, negative 16 less than or equal to "x" less than or equal to negative 8 , right bracex+162+y−152=647≤y≤15−16≤x≤−8
45
Espressione 46: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 25 left brace, 15 less than or equal to "y" less than or equal to 20 , right brace left brace, negative 15 less than or equal to "x" less than or equal to negative 10 , right bracex+152+y−152=2515≤y≤20−15≤x≤−10
46
Espressione 47: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 49 left brace, 15 less than or equal to "y" less than or equal to 22 , right brace left brace, negative 15 less than or equal to "x" less than or equal to negative 8 , right bracex+152+y−152=4915≤y≤22−15≤x≤−8
47
Espressione 48: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 16 left brace, 16 less than or equal to "y" less than or equal to 20 , right brace left brace, negative 19 less than or equal to "x" less than or equal to negative 15 , right bracex+152+y−162=1616≤y≤20−19≤x≤−15
48
Espressione 49: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 36 left brace, 16 less than or equal to "y" less than or equal to 22 , right brace left brace, negative 21 less than or equal to "x" less than or equal to negative 15 , right bracex+152+y−162=3616≤y≤22−21≤x≤−15
49
Espressione 50: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 9 left brace, 13 less than or equal to "y" less than or equal to 16 , right brace left brace, negative 19 less than or equal to "x" less than or equal to negative 16 , right bracex+162+y−162=913≤y≤16−19≤x≤−16
50
Espressione 51: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 16 , right parenthesis squared equals 25 left brace, 11 less than or equal to "y" less than or equal to 16 , right brace left brace, negative 21 less than or equal to "x" less than or equal to negative 16 , right bracex+162+y−162=2511≤y≤16−21≤x≤−16
51
Espressione 52: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 4 left brace, 13 less than or equal to "y" less than or equal to 15 , right brace left brace, negative 16 less than or equal to "x" less than or equal to negative 14 , right bracex+162+y−152=413≤y≤15−16≤x≤−14
52
Espressione 53: left parenthesis, "x" plus 16 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 16 left brace, 11 less than or equal to "y" less than or equal to 15 , right brace left brace, negative 16 less than or equal to "x" less than or equal to negative 12 , right bracex+162+y−152=1611≤y≤15−16≤x≤−12
53
Espressione 54: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 1 left brace, 15 less than or equal to "y" less than or equal to 16 , right brace left brace, negative 15 less than or equal to "x" less than or equal to negative 14 , right bracex+152+y−152=115≤y≤16−15≤x≤−14
54
Espressione 55: left parenthesis, "x" plus 15 , right parenthesis squared plus left parenthesis, "y" minus 15 , right parenthesis squared equals 9 left brace, 15 less than or equal to "y" less than or equal to 18 , right brace left brace, negative 15 less than or equal to "x" less than or equal to negative 12 , right bracex+152+y−152=915≤y≤18−15≤x≤−12
55
Espressione 56: "y" equals 15 left brace, negative 2 less than "x" less than 0 , right bracey=15−2<x<0
56
Espressione 57: "x" equals negative 15 left brace, 16 less than "y" less than 18 , right bracex=−1516<y<18
57
Sand Pit
Nascondi la cartella agli studenti.
58
Espressione 59: "y" less than or equal to StartFraction, 10 Over left parenthesis, "x" minus 14 , right parenthesis squared , EndFraction plus 20 left brace, 10 less than "x" less than 18 , right brace left brace, 15 less than "y" less than 25 , right bracey≤10x−142+2010<x<1815<y<25
59
Espressione 60: "y" less than or equal to negative 2 left parenthesis, "x" minus 14 , right parenthesis squared plus 29 left brace, "y" greater than 25 , right bracey≤−2x−142+29y>25
60
Espressione 61: "y" less than or equal to StartFraction, 0.4 Over "x" minus 19.1 , EndFraction plus 20.9 8 7 left brace, 18 less than "x" less than 19 , right brace left brace, 18 less than "y" , right bracey≤0.4x−19.1+20.98718<x<1918<y
61
Espressione 62: "y" less than or equal to StartFraction, negative 0.4 Over "x" minus 8.9 , EndFraction plus 20.9 8 7 left brace, 9 less than "x" less than 10 , right brace left brace, 18 less than "y" , right bracey≤−0.4x−8.9+20.9879<x<1018<y
62
Espressione 63: "x" less than or equal to negative 0.0 1 5 left parenthesis, "y" minus 16 , right parenthesis squared plus 19.0 3 8 7 2 left brace, "x" greater than 18 , right brace left brace, 15 less than "y" less than 18 , right bracex≤−0.015y−162+19.03872x>1815<y<18
63
Espressione 64: "x" greater than or equal to 0.0 1 5 left parenthesis, "y" minus 16 , right parenthesis squared plus 8.9 6 1 2 8 left brace, 15 less than "y" less than 18 , right brace left brace, "x" less than 10 , right bracex≥0.015y−162+8.9612815<y<18x<10
64
Espressione 65: "y" greater than or equal to StartFraction, 1 Over 30 , EndFraction "x" to the 4th power minus StartFraction, 28 Over 15 , EndFraction "x" cubed plus StartFraction, 1151 Over 30 , EndFraction "x" squared minus StartFraction, 5138 Over 15 , EndFraction "x" plus 1132 left brace, "y" less than 15 , right bracey≥130x4−2815x3+115130x2−513815x+1132y<15
65
Monkey Bars
Nascondi la cartella agli studenti.
66
Espressione 67: "x" equals cosine left parenthesis, "y" , right parenthesis plus 2 left brace, 5 pi less than or equal to "y" less than or equal to 8 pi , right bracex=cosy+25π≤y≤8π
67
Espressione 68: "x" equals cosine left parenthesis, "y" , right parenthesis plus 3 left brace, 5 pi less than or equal to "y" less than or equal to 8 pi , right bracex=cosy+35π≤y≤8π
68
Espressione 69: "y" equals 8 pi left brace, 3 less than or equal to "x" less than or equal to 4 , right bracey=8π3≤x≤4
69
Espressione 70: "y" equals 5 pi left brace, 1 less than or equal to "x" less than or equal to 2 , right bracey=5π1≤x≤2
70
See Saw
Nascondi la cartella agli studenti.
71
Espressione 72: "y" equals 2 "x" plus 24 left brace, negative 26 less than or equal to "x" less than or equal to StartFraction, 8 StartRoot, 5 , EndRoot Over 5 , EndFraction minus 26 , right bracey=2x+24−26≤x≤855−26
72
Espressione 73: "y" equals negative StartFraction, "x" Over 2 , EndFraction minus 41 left brace, negative 26 less than or equal to "x" less than or equal to negative 26 plus StartFraction, StartRoot, 5 , EndRoot Over 5 , EndFraction , right bracey=−x2−41−26≤x≤−26+55
73
Espressione 74: "y" equals 2 "x" plus 24 minus StartFraction, StartRoot, 5 , EndRoot Over 2 , EndFraction left brace, negative 26 plus StartFraction, StartRoot, 5 , EndRoot Over 5 , EndFraction less than or equal to "x" less than or equal to negative 26 plus StartFraction, 9 StartRoot, 5 , EndRoot Over 5 , EndFraction , right bracey=2x+24−52−26+55≤x≤−26+955
74
Espressione 75: "y" equals negative StartFraction, "x" Over 2 , EndFraction minus 41 plus 4 StartRoot, 5 , EndRoot left brace, negative 26 plus StartFraction, 8 StartRoot, 5 , EndRoot Over 5 , EndFraction less than or equal to "x" less than negative 26 plus StartFraction, 9 StartRoot, 5 , EndRoot Over 5 , EndFraction , right bracey=−x2−41+45−26+855≤x<−26+955
75
Footpath
Nascondi la cartella agli studenti.
76
Espressione 77: "y" equals negative ( 7.4 0 5 4 times 10 to the negative 9th power ) "x" to the 6th power minus ( 2.6 6 3 3 times 10 to the negative 7th power ) "x" to the 5th power plus ( 1.0 4 8 2 times 10 to the negative 5th power ) "x" to the 4th power plus 0.0 0 2 4 0 8 9 "x" cubed plus 0.0 3 6 1 9 "x" squared minus 0.5 2 3 7 8 "x" minus 23 left brace, negative 30 less than or equal to "y" less than or equal to 30 , right brace left brace, negative 30 less than or equal to "x" less than or equal to 30 , right bracey=−(7.4054·10−9)x6−(2.6633·10−7)x5+(1.0482·10−5)x4+0.0024089x3+0.03619x2−0.52378x−23−30≤y≤30−30≤x≤30
77
Espressione 78: "y" equals left parenthesis, 4.0 1 1 9 times 10 to the negative 9th power , right parenthesis "x" to the 6th power plus left parenthesis, 2.1 2 8 5 times 10 to the negative 7th power , right parenthesis "x" to the 5th power minus left parenthesis, 8.2 2 4 7 times 10 to the negative 6th power , right parenthesis "x" to the 4th power plus 0.0 0 1 8 3 2 5 "x" cubed plus 0.0 3 5 4 4 2 "x" squared minus 0.4 9 0 3 9 "x" minus 25.2 1 1 9 left brace, negative 30 less than or equal to "y" less than or equal to 30 , right brace left brace, negative 30 less than or equal to "x" less than or equal to 30 , right bracey=4.0119·10−9x6+2.1285·10−7x5−8.2247·10−6x4+0.0018325x3+0.035442x2−0.49039x−25.2119−30≤y≤30−30≤x≤30
78
Shaded Area
Nascondi la cartella agli studenti.
79
Espressione 80: 2 left parenthesis, 0.2 "x" squared plus 1 "y" squared minus 2 "x" , right parenthesis squared minus 100 equals 4 left parenthesis, "x" squared plus 30 "y" squared , right parenthesis20.2x2+1y2−2x2−100=4x2+30y2
80
81
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per salvare i grafici!
Nuovo grafico vuoto
Esempi
Rette: forma esplicita
esempio
Rette: equazione per un punto
esempio
Rette: equazione per due punti
esempio
Parabole: equazione standard
esempio
Parabole: equazione al vertice
esempio
Parabole: equazione standard + tangente
esempio
Trigonometria: periodo e ampiezza
esempio
Trigonometria: fase
esempio
Trigonometria: interferenza
esempio
Trigonometria: circonferenza unitaria
esempio
Sezioni coniche: circonferenza
esempio
Sezioni coniche: parabola e fuoco
esempio
Sezioni coniche: ellisse e fuochi
esempio
Sezioni coniche: iperbole
esempio
Coordinate polari: rodonea
esempio
Coordinate polari: spirale logaritmica
esempio
Coordinate polari: chiocciola di Pascal
esempio
Coordinate polari: sezioni coniche
esempio
Equazione parametrica: introduzione
esempio
Equazione parametrica: cicloide
esempio
Trasformazioni: traslare una funzione
esempio
Trasformazioni: omotetia di una funzione
esempio
Trasformazioni: funzione Inversa
esempio
Statistica: regressione lineare
esempio
Statistica: il quartetto di Anscombe
esempio
Statistica: polinomio di quarto grado
esempio
Elenchi: famiglia delle onde sinusoidali
esempio
Elenchi: curve stitching
esempio
Elenchi: grafico di un elenco di punti
esempio
Calcolo infinitesimale: derivate
esempio
Calcolo infinitesimale: retta secante
esempio
Calcolo infinitesimale: retta tangente
esempio
Calcolo infinitesimale: sviluppo di Taylor di sin (x)
esempio
Calcolo infinitesimale: integrali
esempio
Calcolo infinitesimale: integrale con estremi regolabili
esempio
Calcolo infinitesimale: teorema fondamentale del calcolo integrale
