Uttryck 53: left parenthesis, 1.0 4 "x" minus 2.2 7 , right parenthesis squared plus left parenthesis, "y" minus 4.8 , right parenthesis squared equals StartFraction, 1 Over 64 , EndFraction left brace, 4.7 5 less than "y" less than 4.8 4 , right brace left brace, "x" less than 2.2 , right brace1.04x−2.272+y−4.82=1644.75<y<4.84x<2.2
53
Uttryck 54: left parenthesis, 1.0 4 "x" minus 2.2 8 , right parenthesis squared plus left parenthesis, "y" minus 4.8 4 , right parenthesis squared equals StartFraction, 1 Over 60 , EndFraction left brace, 4.7 6 less than "y" less than 4.8 4 , right brace left brace, "x" less than 2.2 , right brace1.04x−2.282+y−4.842=1604.76<y<4.84x<2.2
54
Uttryck 55: left parenthesis, 1.0 4 "x" minus 2.4 5 , right parenthesis squared plus left parenthesis, "y" minus 4.7 3 , right parenthesis squared equals StartFraction, 1 Over 50 , EndFraction left brace, 4.6 9 less than "y" less than 4.8 3 , right brace left brace, "x" less than 2.4 , right brace1.04x−2.452+y−4.732=1504.69<y<4.83x<2.4
55
Uttryck 56: "y" equals StartFraction, 1 Over 20 , EndFraction cosine left parenthesis, 12 "x" minus 1 pi , right parenthesis plus 4.8 plus left parenthesis, 1.3 1 Superscript, "x" , Baseline minus 1.1 3 , right parenthesis left brace, 2.1 1 less than "x" less than 2.8 3 , right bracey=120cos12x−1π+4.8+1.31x−1.132.11<x<2.83
56
Uttryck 57: "y" equals 6 left parenthesis, "x" minus 2.3 , right parenthesis left parenthesis, "x" minus 2.5 , right parenthesis left parenthesis, "x" minus 2.5 , right parenthesis plus 5.7 2 left brace, 2.2 9 less than "x" less than 2.7 3 , right bracey=6x−2.3x−2.5x−2.5+5.722.29<x<2.73
57
Uttryck 58: "y" equals negative StartAbsoluteValue, StartFraction, 1 Over 20 , EndFraction sin left parenthesis, 15 "x" plus 0.6 pi , right parenthesis , EndAbsoluteValue plus 6.6 4 minus 0.2 7 "x" left brace, StartFraction, 5 pi Over 6 , EndFraction less than "x" less than 3.0 2 , right bracey=−120sin15x+0.6π+6.64−0.27x5π6<x<3.02
58
Uttryck 59: "y" equals negative StartAbsoluteValue, StartFraction, 1 Over 30 , EndFraction sin left parenthesis, 21 "x" plus 0.5 6 pi , right parenthesis , EndAbsoluteValue plus 6.2 minus left parenthesis, 3 quarters log left parenthesis, negative "x" plus 4.2 , right parenthesis plus 0.1 3 , right parenthesis left brace, 2.6 2 less than "x" less than 2.8 1 , right bracey=−130sin21x+0.56π+6.2−34log−x+4.2+0.132.62<x<2.81
59
Uttryck 60: "y" equals StartFraction, 1 Over 30 , EndFraction cosine left parenthesis, 20 "x" minus 0.4 pi , right parenthesis plus 6.8 8 5 minus 0.3 4 "x" left brace, 2.8 1 less than "x" less than 3.0 2 , right bracey=130cos20x−0.4π+6.885−0.34x2.81<x<3.02
60
Uttryck 61: "y" equals negative 1 sixth StartAbsoluteValue, cos left parenthesis, 5 "x" minus 0.2 5 pi , right parenthesis , EndAbsoluteValue plus 1.2 3 Superscript, "x" , Baseline plus 5.1 5 left brace, StartFraction, 11 pi Over 20 , EndFraction less than "x" less than 2.2 7 6 , 2.4 8 less than "x" less than StartFraction, 19 pi Over 20 , EndFraction , right bracey=−16cos5x−0.25π+1.23x+5.1511π20<x<2.276,2.48<x<19π20
61
Uttryck 62: "y" equals StartFraction, 1 Over 14 , EndFraction cosine left parenthesis, 10 "x" minus 0.6 pi , right parenthesis plus 5.7 5 positive 0.5 2 "x" left brace, 1.7 3 less than "x" less than 2.2 1 , right bracey=114cos10x−0.6π+5.75+0.52x1.73<x<2.21
62
Uttryck 63: "y" equals StartFraction, 1 Over 14 , EndFraction cosine left parenthesis, 10 "x" , right parenthesis plus 7.0 6 negative 0.0 2 "x" left brace, 2.3 5 less than "x" less than 2.9 7 , right bracey=114cos10x+7.06−0.02x2.35<x<2.97
63
Uttryck 64: "x" equals 1 ninth cosine left parenthesis, 7 "y" plus 0.8 pi , right parenthesis plus 4.2 negative 0.3 "y" left brace, 6.9 1 less than "y" less than 7.6 1 , right bracex=19cos7y+0.8π+4.2−0.3y6.91<y<7.61
64
Uttryck 65: "x" equals StartFraction, 1 Over 10 , EndFraction cosine left parenthesis, 8 "y" minus 0.6 pi , right parenthesis plus 6.2 negative 0.5 4 "y" left brace, 7.0 1 less than "y" less than 7.6 2 , right bracex=110cos8y−0.6π+6.2−0.54y7.01<y<7.62
65
Uttryck 66: "y" equals StartFraction, 1 Over 5.9 , EndFraction log left parenthesis, negative "x" plus 2.4 9 , right parenthesis plus 7.1 left brace, 6.6 less than "y" less than 6.9 5 , right bracey=15.9log−x+2.49+7.16.6<y<6.95
66
Uttryck 67: "y" equals negative 7 left parenthesis, "x" minus 2.3 5 , right parenthesis left parenthesis, "x" minus 2.3 5 , right parenthesis plus 6.9 5 left brace, 2.2 6 1 less than "x" less than 2.3 6 , right bracey=−7x−2.35x−2.35+6.952.261<x<2.36
67
Uttryck 68: left parenthesis, "x" negative 2.3 8 , right parenthesis squared plus left parenthesis, "y" minus 5.2 , right parenthesis squared less than equals 0.0 2 7x−2.382+y−5.22<=0.027
68
Uttryck 69: "y" equals 5 left parenthesis, "x" minus 2.8 , right parenthesis left parenthesis, "x" minus 2.9 4 , right parenthesis plus 5.9 left brace, 5.9 less than "y" less than 6.0 6 , right brace left brace, 2.7 less than "x" less than 2.7 5 , 2.8 less than "x" , right bracey=5x−2.8x−2.94+5.95.9<y<6.062.7<x<2.75,2.8<x
69
Uttryck 70: "y" equals StartFraction, 1 Over 500 , EndFraction tangent left parenthesis, 8 "x" plus 0.6 2 pi , right parenthesis minus "x" plus 8.8 8 left brace, 6.0 2 less than "y" less than 6.1 6 , right brace left brace, 2.7 less than "x" less than 2.8 1 , right bracey=1500tan8x+0.62π−x+8.886.02<y<6.162.7<x<2.81
70
Uttryck 71: "y" equals StartFraction, 1 Over 1.2 , EndFraction log left parenthesis, 3 "x" minus 7.4 , right parenthesis plus 6.0 5 left brace, 6.0 6 5 less than or equal to "y" , right brace left brace, "x" less than 3 , right bracey=11.2log3x−7.4+6.056.065≤yx<3
71
Uttryck 72: "y" equals negative StartFraction, 1 Over 500 , EndFraction tangent left parenthesis, 8 "x" plus 0.6 9 pi , right parenthesis plus 0.8 "x" plus 3.6 6 left brace, 6.0 4 less than "y" less than 6.1 , right brace left brace, 2.8 less than "x" less than 3.0 6 2 , right bracey=−1500tan8x+0.69π+0.8x+3.666.04<y<6.12.8<x<3.062
72
Uttryck 73: "x" equals negative 1 half left parenthesis, "y" minus 6.5 , right parenthesis left parenthesis, "y" minus 6 , right parenthesis plus 2.9 7 left brace, 6.0 4 less than "y" less than 6.2 2 , right bracex=−12y−6.5y−6+2.976.04<y<6.22
73
Uttryck 74: "y" equals negative 17 left parenthesis, "x" minus 2.8 5 , right parenthesis left parenthesis, "x" minus 2.9 , right parenthesis plus 6.9 6 minus 0.2 "x" left brace, 2.7 4 5 less than "x" less than 2.7 8 , 2.9 3 less than "x" less than 2.9 7 5 , right bracey=−17x−2.85x−2.9+6.96−0.2x2.745<x<2.78,2.93<x<2.975
74
Uttryck 75: "y" equals StartFraction, 1 Over negative 200 , EndFraction tangent left parenthesis, 20 "x" minus 1.2 pi , right parenthesis plus left parenthesis, log left parenthesis, "x" minus 2.5 5 , right parenthesis plus 5 , right parenthesis plus 1.7 8 left brace, 2.7 8 2 5 less than "x" less than 2.9 3 , right bracey=1−200tan20x−1.2π+logx−2.55+5+1.782.7825<x<2.93
75
Uttryck 76: "y" equals StartFraction, 1 Over 1.1 , EndFraction left parenthesis, "x" minus 3.4 , right parenthesis left parenthesis, "x" minus 3.5 , right parenthesis plus "x" plus 2.9 2 left brace, 2.4 7 2 less than "x" less than 2.7 0 7 , 3 less than "x" less than 3.5 4 , right bracey=11.1x−3.4x−3.5+x+2.922.472<x<2.707,3<x<3.54
76
Uttryck 77: "y" equals 1 eighth cosine left parenthesis, 5 "x" minus 1.3 pi , right parenthesis minus 0.8 "x" plus 9.2 3 left brace, 2.8 5 5 less than "x" less than 3.5 4 , right bracey=18cos5x−1.3π−0.8x+9.232.855<x<3.54
77
Uttryck 78: "y" equals negative 1 third StartAbsoluteValue, sin left parenthesis, 2.5 "x" minus 0.4 pi , right parenthesis , EndAbsoluteValue plus 0.4 5 "x" plus 5.3 5 left brace, 1.8 8 less than "x" less than 2.1 8 , 2.4 5 less than "x" less than 2.5 6 , 3.4 less than "x" less than 4.2 , right bracey=−13sin2.5x−0.4π+0.45x+5.351.88<x<2.18,2.45<x<2.56,3.4<x<4.2
78
Uttryck 79: "y" equals 1 half log left parenthesis, 2 "x" minus 3.7 , right parenthesis plus 6.7 left brace, 1.8 8 less than "x" less than 2.0 7 , right bracey=12log2x−3.7+6.71.88<x<2.07
79
Uttryck 80: "y" equals StartFraction, 1 Over 1.6 , EndFraction left parenthesis, "x" minus 1.6 , right parenthesis left parenthesis, "x" minus 1.6 , right parenthesis plus 6.1 5 left brace, 0.5 5 less than "x" less than 1.9 , right bracey=11.6x−1.6x−1.6+6.150.55<x<1.9
80
Uttryck 81: "y" equals StartFraction, 1 Over 10 , EndFraction sine left parenthesis, 4 "x" , right parenthesis plus 0.2 "x" plus 6.6 5 left brace, 0.5 6 less than "x" less than 1.1 7 , 3.2 less than "x" less than StartFraction, 4 pi Over 3 , EndFraction , right bracey=110sin4x+0.2x+6.650.56<x<1.17,3.2<x<4π3
81
Uttryck 82: left parenthesis, 0.8 5 "x" minus 1.5 7 , right parenthesis squared plus left parenthesis, 1 "y" minus 7.9 5 , right parenthesis squared equals 1.7 left brace, .3 4 6 less than "x" less than 1.8 4 , 2.8 1 less than "x" , right brace left brace, "y" less than 8.1 1 , right brace0.85x−1.572+1y−7.952=1.7.346<x<1.84,2.81<xy<8.11
82
Uttryck 83: "y" equals StartFraction, 1 Over 1.6 , EndFraction left parenthesis, "x" minus 2.7 , right parenthesis left parenthesis, "x" minus 3.3 , right parenthesis left parenthesis, "x" minus 3.3 , right parenthesis plus 8.1 left brace, 2.0 9 less than "x" less than 3.3 7 , right bracey=11.6x−2.7x−3.3x−3.3+8.12.09<x<3.37
83
Uttryck 84: "y" equals negative StartFraction, 1 Over 1.6 , EndFraction left parenthesis, "x" minus 0.7 , right parenthesis left parenthesis, "x" minus 0.7 , right parenthesis left parenthesis, "x" minus 1.7 , right parenthesis plus 7.5 6 left brace, 0.3 5 less than "x" less than 1.9 , right bracey=−11.6x−0.7x−0.7x−1.7+7.560.35<x<1.9
84
Uttryck 85: left parenthesis, 0.8 5 "x" minus 2 , right parenthesis squared plus left parenthesis, 0.8 "y" minus 6.7 5 , right parenthesis squared equals 1.7 left brace, 0.8 less than or equal to "x" less than 1.0 4 , 3.6 less than "x" , right brace left brace, "y" less than 8.6 9 , right brace0.85x−22+0.8y−6.752=1.70.8≤x<1.04,3.6<xy<8.69
85
Uttryck 86: "y" equals StartFraction, 1 Over 14 , EndFraction cosine left parenthesis, 6 "x" plus 0.9 pi , right parenthesis minus 0.4 "x" plus 9 left brace, 0.8 3 4 less than "x" less than 1.5 9 , right bracey=114cos6x+0.9π−0.4x+90.834<x<1.59
86
Uttryck 87: "y" equals StartFraction, 1 Over 10 , EndFraction sine left parenthesis, 4 "x" plus 0.9 pi , right parenthesis plus 0.5 4 "x" plus 6.6 5 left brace, 2.4 7 less than "x" less than 3.8 6 , right bracey=110sin4x+0.9π+0.54x+6.652.47<x<3.86
87
Uttryck 88: "x" equals 1 third left parenthesis, "y" minus 8.3 , right parenthesis left parenthesis, "y" minus 8.3 , right parenthesis plus 1.6 left brace, 7.4 3 9 less than "y" less than 9.4 1 , right bracex=13y−8.3y−8.3+1.67.439<y<9.41
88
Uttryck 89: "x" equals 1 eighth cosine left parenthesis, 3 "y" minus .2 pi , right parenthesis minus 0.5 "y" plus 6.8 left brace, 8.2 2 less than "y" less than 9.4 , right bracex=18cos3y−.2π−0.5y+6.88.22<y<9.4
89
Uttryck 90: "y" equals log left parenthesis, negative "x" plus 3.3 , right parenthesis plus 9.5 left brace, 2.9 less than "x" , right brace left brace, 8.3 8 less than "y" , right bracey=log−x+3.3+9.52.9<x8.38<y
90
Uttryck 91: "y" equals 1.5 Superscript, "x" , Baseline plus 5.8 5 left brace, 2.5 7 4 less than "x" , right brace left brace, "y" less than 9.1 , right bracey=1.5x+5.852.574<xy<9.1
91
92
driven av
driven av
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
over÷
funktioner
((
))
less than<
greater than>
44
55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+
eller
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Exempel
Linjer: Linjära funktioner
exempel
Linjer: Enpunktsformeln
exempel
Linjer: Tvåpunktsformeln
exempel
Parabler: Standardform
exempel
Parabler: Vertexform
exempel
Parabler: Standardform och tangens
exempel
Trigonometri: Våglängd och amplitud
exempel
Trigonometri: Fas
exempel
Trigonometri: Interferens
exempel
Trigonometri: Enhetscirkeln
exempel
Kägelsnitt: Cirkel
exempel
Kägelsnitt: Parabel och fokus
exempel
Kägelsnitt: Ellips med fokus
exempel
Kägelsnitt: Hyperbel
exempel
Polära ekvationer: Ros
exempel
Polära ekvationer: Logaritmisk spiral
exempel
Polära ekvationer: Limacon
exempel
Polära ekvationer: Kägelsnitt
exempel
Parameterform: Introduktion
exempel
Parameterform: Cykloid
exempel
Transformation: Avbildning av en funktion
exempel
Transformation: Förändra skalan på en funktion
exempel
Transformation: Invers av en funktion
exempel
Statistik: Linjär regression
exempel
Statistik: Anscombs kvartett
exempel
Statistik: Polynom av 4:e grad
exempel
Listor: Sinuskurvor
exempel
Listor: Stickandet av kurvor
exempel
Listor: Rita en graf från en lista med punkter
exempel
Infinitesimalkalkyl: Derivata
exempel
Infinitesimalkalkyl: Sekantlinje
exempel
Infinitesimalkalkyl: Tangentlinje
exempel
Infinitesimalkalkyl: Taylorutveckling av sin(x)
exempel
Infinitesimalkalkyl: Integraler
exempel
Infinitesimalkalkyl: Integraler med justerbara gränser
