This is a logarithm that has been flipped over the x- axis. Natural domain: x>0 Natural range: y>100
53
Expression 54: "y" equals 9 Superscript, left parenthesis, "x" plus 1.5 , right parenthesis , Baseline negative 3 left brace, negative .1 8 greater than "x" greater than negative 1 , right bracey=9x+1.5−3−.18>x>−1
54
This is an exponential equation that has been shifted left 1.5 and down 3. Natural domain: x<1.5 Natural range: y>-3
55
Expression 56: negative "y" equals absolute value left parenthesis, 40 "x" , right parenthesis minus 13 left brace, .3 2 5 greater than "x" greater than negative .3 2 5 , right brace−y=abs40x−13.325>x>−.325
56
This is an absolute value equation that has been reflected across the x-axis, horizontally shrunk by 40 and shifted up 13. Natural domain: x= all reals Natural range: y<13
57
Expression 58: "x" squared plus left parenthesis, "y" minus 15.6 , right parenthesis squared equals .1 left brace, "y" greater than 15.6 , right bracex2+y−15.62=.1y>15.6
58
This is a circle equation that has been shifted up 15.6 units. Natural domain: .317>x> -.317 Natural range: 15.916>y>15.284
59
Expression 60: "y" equals StartFraction, 1 Over left parenthesis, "x" minus .7 , right parenthesis , EndFraction minus 2 left brace, 1.2 less than "x" less than 1.8 , right bracey=1x−.7−21.2<x<1.8
60
This is a factorial expression that is shifted right .7 units and down 2 units. Natural domain: x is all reals except 0, Natural range: y is all reals except 0
61
Expression 62: Start Cube Root, .2 left parenthesis, "x" plus 2 , right parenthesis , End Cube Root minus 1.5 left brace, negative 2.1 less than "x" less than negative 1.8 , right brace3.2x+2−1.5−2.1<x<−1.8
62
This is a cube route equation that is vertically shrunk by .2, shifted left 2 and down 1.5. Natural domain: all reals, Natural range: all reals
63
Expression 64: "y" equals left parenthesis, 2 "x" plus 6 , right parenthesis squared minus 8 left brace, negative 2.5 less than "x" less than negative 1.7 6 , right bracey=2x+62−8−2.5<x<−1.76
64
This is a quadratic equation that has been horizontally shrunk by 2, shifted left 6, and shifted down 8. Natural domain: all reals, Natural range: y>-8
65
Expression 66: "y" equals StartRoot, "x" plus 3 , EndRoot minus 8 left brace, "x" less than negative 2 , right bracey=x+3−8x<−2
66
This is a square root equation that has been shifted left 3 and down 8. Natural domain: x>-3 Natural range: y>-8
67
Expression 68: "y" equals left parenthesis, .7 "x" plus 3.2 , right parenthesis cubed minus 9 left brace, negative 3.1 4 greater than "x" greater than negative 3.8 , right bracey=.7x+3.23−9−3.14>x>−3.8
68
This is a cubic equation that has been horizontally stretched by .7, shifted left 3.2 and down 9. Natural domain: all reals, Natural range: all reals
69
Expression 70: "x" squared plus .5 left parenthesis, "y" plus 19 , right parenthesis squared equals 25 left brace, "y" greater than negative 19 , right bracex2+.5y+192=25y>−19
70
This is an ellipse equation that has been vertically stretch by .5. Natural domain: -5<x<5 Natural range: -12<x<-26
71
Expression 72: "y" equals negative 18 left brace, negative 9.3 less than "x" less than negative 5 , right bracey=−18−9.3<x<−5
72
Expression 73: "y" equals negative 18 left brace, 9.3 greater than "x" greater than 5 , right bracey=−189.3>x>5
73
Expression 74: "y" equals negative 17 left brace, negative 8.6 less than "x" less than negative 4.8 , right bracey=−17−8.6<x<−4.8
74
Expression 75: "y" equals negative 17 left brace, 8.6 greater than "x" greater than 4.8 , right bracey=−178.6>x>4.8
75
Expression 76: "y" equals negative 16 left brace, negative 7.9 3 less than "x" less than negative 4.5 3 , right bracey=−16−7.93<x<−4.53
76
Expression 77: "y" equals negative 16 left brace, 7.9 3 greater than "x" greater than 4.5 3 , right bracey=−167.93>x>4.53
77
Expression 78: "y" equals negative 15 left brace, negative 7.3 3 less than "x" less than negative 4.1 5 , right bracey=−15−7.33<x<−4.15
78
Expression 79: "y" equals negative 14 left brace, negative 6.5 9 less than "x" less than negative 3.5 7 , right bracey=−14−6.59<x<−3.57
79
Expression 80: "y" equals negative 14 left brace, 6.5 9 greater than "x" greater than 3.5 7 , right bracey=−146.59>x>3.57
80
Expression 81: "y" equals negative 13 left brace, negative 5.9 3 less than "x" less than negative 2.6 7 , right bracey=−13−5.93<x<−2.67
81
Expression 82: "y" equals negative 13 left brace, 5.9 3 greater than "x" greater than 2.6 7 , right bracey=−135.93>x>2.67
82
Expression 83: "y" equals negative 12 left brace, negative 5.2 7 less than "x" less than negative .7 , right bracey=−12−5.27<x<−.7
83
Expression 84: "y" equals negative 12 left brace, 5.2 7 greater than "x" greater than .7 , right bracey=−125.27>x>.7
84
Expression 85: "y" equals negative 11 left brace, negative 4.6 3 less than "x" less than 4.6 3 , right bracey=−11−4.63<x<4.63
85
Expression 86: "y" equals negative 10 left brace, negative 3.9 2 less than "x" less than 3.9 2 , right bracey=−10−3.92<x<3.92
86
Expression 87: "y" equals negative 9 left brace, negative 3.2 7 less than "x" less than 3.2 7 , right bracey=−9−3.27<x<3.27
87
Expression 88: "x" equals negative 9 left brace, negative 17.6 greater than "y" greater than negative 19 , right bracex=−9−17.6>y>−19
88
Expression 89: "x" equals negative 8 left brace, negative 19 less than "y" less than negative 16.1 , right bracex=−8−19<y<−16.1
89
Expression 90: "x" equals negative 7 left brace, negative 14.6 greater than "y" greater than negative 19 , right bracex=−7−14.6>y>−19
90
Expression 91: "x" equals negative 6 left brace, negative 13.1 greater than "y" greater than negative 19 , right bracex=−6−13.1>y>−19
91
Expression 92: "x" equals negative 5 left brace, negative 11.5 4 greater than "y" greater than negative 18.6 8 , right bracex=−5−11.54>y>−18.68
92
Expression 93: "x" equals negative 4 left brace, negative 10.1 6 greater than "y" greater than negative 14.7 6 , right bracex=−4−10.16>y>−14.76
93
Expression 94: "x" equals negative 3 left brace, negative 9 greater than "y" greater than negative 13.3 4 , right bracex=−3−9>y>−13.34
94
Expression 95: "x" equals negative 2 left brace, negative 9 greater than "y" greater than negative 12.5 2 , right bracex=−2−9>y>−12.52
95
Expression 96: "x" equals negative 1 left brace, negative 9 greater than "y" greater than negative 12.0 7 , right bracex=−1−9>y>−12.07
96
Expression 97: "x" equals 0 left brace, negative 9 greater than "y" greater than negative 11.9 1 , right bracex=0−9>y>−11.91
97
Expression 98: "x" equals 1 left brace, negative 9 greater than "y" greater than negative 12.0 7 , right bracex=1−9>y>−12.07
98
Expression 99: "x" equals 2 left brace, negative 9 greater than "y" greater than negative 12.5 2 , right bracex=2−9>y>−12.52
99
Expression 100: "x" equals 3 left brace, negative 9 greater than "y" greater than negative 13.3 4 , right bracex=3−9>y>−13.34
100
Expression 101: "x" equals 4 left brace, negative 10.1 6 greater than "y" greater than negative 14.7 6 , right bracex=4−10.16>y>−14.76
101
Expression 102: "x" equals 5 left brace, negative 11.5 4 greater than "y" greater than negative 18.6 8 , right bracex=5−11.54>y>−18.68
102
Expression 103: "x" equals 6 left brace, negative 13.1 greater than "y" greater than negative 19 , right bracex=6−13.1>y>−19
103
Expression 104: "x" equals 7 left brace, negative 14.6 greater than "y" greater than negative 19 , right bracex=7−14.6>y>−19
104
Expression 105: "x" equals 8 left brace, negative 19 less than "y" less than negative 16.1 , right bracex=8−19<y<−16.1
105
Expression 106: "x" equals 9 left brace, negative 17.6 greater than "y" greater than negative 19 , right bracex=9−17.6>y>−19