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Rhapsody in Functions
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Expression 102: "x" equals 11.8 left brace, 6.4 less than or equal to "y" less than or equal to 7.6 , right brace
x
=
1
1
.
8
6
.
4
≤
y
≤
7
.
6
102
Expression 103: "x" equals 0 left brace, negative 4 less than or equal to "y" less than or equal to 4 , right brace
x
=
0
−
4
≤
y
≤
4
103
Expression 104: "x" equals 13.2 left brace, 7.4 less than or equal to "y" less than or equal to 8.6 , right brace
x
=
1
3
.
2
7
.
4
≤
y
≤
8
.
6
104
Expression 105: "x" equals 13.4 left brace, 7.2 less than or equal to "y" less than or equal to 8.8 , right brace
x
=
1
3
.
4
7
.
2
≤
y
≤
8
.
8
105
Expression 106: "x" equals 13.6 left brace, 7.0 8 less than or equal to "y" less than or equal to 8.9 2 , right brace
x
=
1
3
.
6
7
.
0
8
≤
y
≤
8
.
9
2
106
Expression 107: "x" equals 13.8 left brace, 7.0 2 less than or equal to "y" less than or equal to 8.9 8 , right brace
x
=
1
3
.
8
7
.
0
2
≤
y
≤
8
.
9
8
107
Expression 108: "x" equals 14 left brace, 7 less than or equal to "y" less than or equal to 9 , right brace
x
=
1
4
7
≤
y
≤
9
108
Expression 109: "x" equals 14.2 left brace, 7.0 2 less than or equal to "y" less than or equal to 8.9 8 , right brace
x
=
1
4
.
2
7
.
0
2
≤
y
≤
8
.
9
8
109
Expression 110: "x" equals 14.4 left brace, 7.0 8 less than or equal to "y" less than or equal to 8.9 2 , right brace
x
=
1
4
.
4
7
.
0
8
≤
y
≤
8
.
9
2
110
Expression 111: "x" equals 14.6 left brace, 7.2 less than or equal to "y" less than or equal to 8.8 , right brace
x
=
1
4
.
6
7
.
2
≤
y
≤
8
.
8
111
Expression 112: "x" equals 14.8 left brace, 7.4 less than or equal to "y" less than or equal to 8.6 , right brace
x
=
1
4
.
8
7
.
4
≤
y
≤
8
.
6
112
Expression 113: "x" equals 16.2 left brace, 6.4 less than or equal to "y" less than or equal to 7.6 , right brace
x
=
1
6
.
2
6
.
4
≤
y
≤
7
.
6
113
Expression 114: "x" equals 22.2 left brace, 6.4 less than or equal to "y" less than or equal to 7.6 , right brace
x
=
2
2
.
2
6
.
4
≤
y
≤
7
.
6
114
Expression 115: "x" equals 28.2 left brace, 6.4 less than or equal to "y" less than or equal to 7.6 , right brace
x
=
2
8
.
2
6
.
4
≤
y
≤
7
.
6
115
Expression 116: "x" equals 22.4 left brace, 6.2 less than or equal to "y" less than or equal to 7.8 , right brace
x
=
2
2
.
4
6
.
2
≤
y
≤
7
.
8
116
Expression 117: "x" equals 28.4 left brace, 6.2 less than or equal to "y" less than or equal to 7.8 , right brace
x
=
2
8
.
4
6
.
2
≤
y
≤
7
.
8
117
Expression 118: "x" equals 16.4 left brace, 6.2 less than or equal to "y" less than or equal to 7.8 , right brace
x
=
1
6
.
4
6
.
2
≤
y
≤
7
.
8
118
Expression 119: "x" equals 22.6 left brace, 6.0 8 less than or equal to "y" less than or equal to 7.9 2 , right brace
x
=
2
2
.
6
6
.
0
8
≤
y
≤
7
.
9
2
119
Expression 120: "x" equals 28.6 left brace, 6.0 8 less than or equal to "y" less than or equal to 7.9 2 , right brace
x
=
2
8
.
6
6
.
0
8
≤
y
≤
7
.
9
2
120
Expression 121: "x" equals 16.6 left brace, 6.0 8 less than or equal to "y" less than or equal to 7.9 2 , right brace
x
=
1
6
.
6
6
.
0
8
≤
y
≤
7
.
9
2
121
Expression 122: "x" equals 22.8 left brace, 6.0 2 less than or equal to "y" less than or equal to 7.9 8 , right brace
x
=
2
2
.
8
6
.
0
2
≤
y
≤
7
.
9
8
122
Expression 123: "x" equals 28.8 left brace, 6.0 2 less than or equal to "y" less than or equal to 7.9 8 , right brace
x
=
2
8
.
8
6
.
0
2
≤
y
≤
7
.
9
8
123
Expression 124: "x" equals 16.8 left brace, 6.0 2 less than or equal to "y" less than or equal to 7.9 8 , right brace
x
=
1
6
.
8
6
.
0
2
≤
y
≤
7
.
9
8
124
Expression 125: "x" equals 23 left brace, 6 less than or equal to "y" less than or equal to 8 , right brace
x
=
2
3
6
≤
y
≤
8
125
Expression 126: "x" equals 29 left brace, 6 less than or equal to "y" less than or equal to 8 , right brace
x
=
2
9
6
≤
y
≤
8
126
Expression 127: "x" equals 17 left brace, 6 less than or equal to "y" less than or equal to 8 , right brace
x
=
1
7
6
≤
y
≤
8
127
Expression 128: "x" equals 23.2 left brace, 6.0 2 less than or equal to "y" less than or equal to 7.9 8 , right brace
x
=
2
3
.
2
6
.
0
2
≤
y
≤
7
.
9
8
128
Expression 129: "x" equals 29.2 left brace, 6.0 2 less than or equal to "y" less than or equal to 7.9 8 , right brace
x
=
2
9
.
2
6
.
0
2
≤
y
≤
7
.
9
8
129
Expression 130: "x" equals 17.2 left brace, 6.0 2 less than or equal to "y" less than or equal to 7.9 8 , right brace
x
=
1
7
.
2
6
.
0
2
≤
y
≤
7
.
9
8
130
Expression 131: "x" equals 23.4 left brace, 6.0 8 less than or equal to "y" less than or equal to 7.9 2 , right brace
x
=
2
3
.
4
6
.
0
8
≤
y
≤
7
.
9
2
131
Expression 132: "x" equals 29.4 left brace, 6.0 8 less than or equal to "y" less than or equal to 7.9 2 , right brace
x
=
2
9
.
4
6
.
0
8
≤
y
≤
7
.
9
2
132
Expression 133: "x" equals 17.4 left brace, 6.0 8 less than or equal to "y" less than or equal to 7.9 2 , right brace
x
=
1
7
.
4
6
.
0
8
≤
y
≤
7
.
9
2
133
Expression 134: "x" equals 29.6 left brace, 6.2 less than or equal to "y" less than or equal to 7.8 , right brace
x
=
2
9
.
6
6
.
2
≤
y
≤
7
.
8
134
Expression 135: "x" equals 23.6 left brace, 6.2 less than or equal to "y" less than or equal to 7.8 , right brace
x
=
2
3
.
6
6
.
2
≤
y
≤
7
.
8
135
Expression 136: "x" equals 17.6 left brace, 6.2 less than or equal to "y" less than or equal to 7.8 , right brace
x
=
1
7
.
6
6
.
2
≤
y
≤
7
.
8
136
Expression 137: "x" equals 29.8 left brace, 6.4 less than or equal to "y" less than or equal to 7.6 , right brace
x
=
2
9
.
8
6
.
4
≤
y
≤
7
.
6
137
Expression 138: "x" equals 23.8 left brace, 6.4 less than or equal to "y" less than or equal to 7.6 , right brace
x
=
2
3
.
8
6
.
4
≤
y
≤
7
.
6
138
Expression 139: "x" equals 17.8 left brace, 6.4 less than or equal to "y" less than or equal to 7.6 , right brace
x
=
1
7
.
8
6
.
4
≤
y
≤
7
.
6
139
Expression 140: "x" equals 19.2 left brace, 5.4 less than or equal to "y" less than or equal to 6.6 , right brace
x
=
1
9
.
2
5
.
4
≤
y
≤
6
.
6
140
Expression 141: "x" equals 25.2 left brace, 5.4 less than or equal to "y" less than or equal to 6.6 , right brace
x
=
2
5
.
2
5
.
4
≤
y
≤
6
.
6
141
Expression 142: "x" equals 31.2 left brace, 5.4 less than or equal to "y" less than or equal to 6.6 , right brace
x
=
3
1
.
2
5
.
4
≤
y
≤
6
.
6
142
Expression 143: "x" equals 19.4 left brace, 5.2 less than or equal to "y" less than or equal to 6.8 , right brace
x
=
1
9
.
4
5
.
2
≤
y
≤
6
.
8
143
Expression 144: "x" equals 25.4 left brace, 5.2 less than or equal to "y" less than or equal to 6.8 , right brace
x
=
2
5
.
4
5
.
2
≤
y
≤
6
.
8
144
Expression 145: "x" equals 31.4 left brace, 5.2 less than or equal to "y" less than or equal to 6.8 , right brace
x
=
3
1
.
4
5
.
2
≤
y
≤
6
.
8
145
Expression 146: "x" equals 19.6 left brace, 5.0 8 less than or equal to "y" less than or equal to 6.9 2 , right brace
x
=
1
9
.
6
5
.
0
8
≤
y
≤
6
.
9
2
146
Expression 147: "x" equals 25.6 left brace, 5.0 8 less than or equal to "y" less than or equal to 6.9 2 , right brace
x
=
2
5
.
6
5
.
0
8
≤
y
≤
6
.
9
2
147
Expression 148: "x" equals 31.6 left brace, 5.0 8 less than or equal to "y" less than or equal to 6.9 2 , right brace
x
=
3
1
.
6
5
.
0
8
≤
y
≤
6
.
9
2
148
Expression 149: "x" equals 19.8 left brace, 5.0 2 less than or equal to "y" less than or equal to 6.9 8 , right brace
x
=
1
9
.
8
5
.
0
2
≤
y
≤
6
.
9
8
149
Expression 150: "x" equals 25.8 left brace, 5.0 2 less than or equal to "y" less than or equal to 6.9 8 , right brace
x
=
2
5
.
8
5
.
0
2
≤
y
≤
6
.
9
8
150
Expression 151: "x" equals 31.8 left brace, 5.0 2 less than or equal to "y" less than or equal to 6.9 8 , right brace
x
=
3
1
.
8
5
.
0
2
≤
y
≤
6
.
9
8
151
Expression 152: "x" equals 20 left brace, 5 less than or equal to "y" less than or equal to 7 , right brace
x
=
2
0
5
≤
y
≤
7
152
Expression 153: "x" equals 26 left brace, 5 less than or equal to "y" less than or equal to 7 , right brace
x
=
2
6
5
≤
y
≤
7
153
Expression 154: "x" equals 32 left brace, 5 less than or equal to "y" less than or equal to 7 , right brace
x
=
3
2
5
≤
y
≤
7
154
Expression 155: "x" equals 20.2 left brace, 5.0 2 less than or equal to "y" less than or equal to 6.9 8 , right brace
x
=
2
0
.
2
5
.
0
2
≤
y
≤
6
.
9
8
155
Expression 156: "x" equals 26.2 left brace, 5.0 2 less than or equal to "y" less than or equal to 6.9 8 , right brace
x
=
2
6
.
2
5
.
0
2
≤
y
≤
6
.
9
8
156
Expression 157: "x" equals 32.2 left brace, 5.0 2 less than or equal to "y" less than or equal to 6.9 8 , right brace
x
=
3
2
.
2
5
.
0
2
≤
y
≤
6
.
9
8
157
Expression 158: "x" equals 20.4 left brace, 5.0 8 less than or equal to "y" less than or equal to 6.9 2 , right brace
x
=
2
0
.
4
5
.
0
8
≤
y
≤
6
.
9
2
158
Expression 159: "x" equals 32.4 left brace, 5.0 8 less than or equal to "y" less than or equal to 6.9 2 , right brace
x
=
3
2
.
4
5
.
0
8
≤
y
≤
6
.
9
2
159
Expression 160: "x" equals 26.4 left brace, 5.0 8 less than or equal to "y" less than or equal to 6.9 2 , right brace
x
=
2
6
.
4
5
.
0
8
≤
y
≤
6
.
9
2
160
Expression 161: "x" equals 20.6 left brace, 5.2 less than or equal to "y" less than or equal to 6.8 , right brace
x
=
2
0
.
6
5
.
2
≤
y
≤
6
.
8
161
Expression 162: "x" equals 32.6 left brace, 5.2 less than or equal to "y" less than or equal to 6.8 , right brace
x
=
3
2
.
6
5
.
2
≤
y
≤
6
.
8
162
Expression 163: "x" equals 26.6 left brace, 5.2 less than or equal to "y" less than or equal to 6.8 , right brace
x
=
2
6
.
6
5
.
2
≤
y
≤
6
.
8
163
Expression 164: "x" equals 20.8 left brace, 5.4 less than or equal to "y" less than or equal to 6.6 , right brace
x
=
2
0
.
8
5
.
4
≤
y
≤
6
.
6
164
Expression 165: "x" equals 32.8 left brace, 5.4 less than or equal to "y" less than or equal to 6.6 , right brace
x
=
3
2
.
8
5
.
4
≤
y
≤
6
.
6
165
Expression 166: "x" equals 26.8 left brace, 5.4 less than or equal to "y" less than or equal to 6.6 , right brace
x
=
2
6
.
8
5
.
4
≤
y
≤
6
.
6
166
Expression 167: "x" equals 35.2 left brace, 4.4 less than or equal to "y" less than or equal to 5.6 , right brace
x
=
3
5
.
2
4
.
4
≤
y
≤
5
.
6
167
Expression 168: "x" equals 36.8 left brace, 4.4 less than or equal to "y" less than or equal to 5.6 , right brace
x
=
3
6
.
8
4
.
4
≤
y
≤
5
.
6
168
Expression 169: "x" equals 35.4 left brace, 4.2 less than or equal to "y" less than or equal to 5.8 , right brace
x
=
3
5
.
4
4
.
2
≤
y
≤
5
.
8
169
Expression 170: "x" equals 36.6 left brace, 4.2 less than or equal to "y" less than or equal to 5.8 , right brace
x
=
3
6
.
6
4
.
2
≤
y
≤
5
.
8
170
Expression 171: "x" equals 35.6 left brace, 4.0 8 less than or equal to "y" less than or equal to 5.9 2 , right brace
x
=
3
5
.
6
4
.
0
8
≤
y
≤
5
.
9
2
171
Expression 172: "x" equals 36.4 left brace, 4.0 8 less than or equal to "y" less than or equal to 5.9 2 , right brace
x
=
3
6
.
4
4
.
0
8
≤
y
≤
5
.
9
2
172
Expression 173: "x" equals 35.8 left brace, 4.0 2 less than or equal to "y" less than or equal to 5.9 8 , right brace
x
=
3
5
.
8
4
.
0
2
≤
y
≤
5
.
9
8
173
Expression 174: "x" equals 36.2 left brace, 4.0 2 less than or equal to "y" less than or equal to 5.9 8 , right brace
x
=
3
6
.
2
4
.
0
2
≤
y
≤
5
.
9
8
174
Expression 175: "x" equals 36 left brace, 4 less than or equal to "y" less than or equal to 6 , right brace
x
=
3
6
4
≤
y
≤
6
175
Expression 176: "x" equals 38.2 left brace, 3.4 less than or equal to "y" less than or equal to 4.6 , right brace
x
=
3
8
.
2
3
.
4
≤
y
≤
4
.
6
176
Expression 177: "x" equals 39.8 left brace, 3.4 less than or equal to "y" less than or equal to 4.6 , right brace
x
=
3
9
.
8
3
.
4
≤
y
≤
4
.
6
177
Expression 178: "x" equals 38.4 left brace, 3.2 less than or equal to "y" less than or equal to 4.8 , right brace
x
=
3
8
.
4
3
.
2
≤
y
≤
4
.
8
178
Expression 179: "x" equals 39.6 left brace, 3.2 less than or equal to "y" less than or equal to 4.8 , right brace
x
=
3
9
.
6
3
.
2
≤
y
≤
4
.
8
179
Expression 180: "x" equals 39.4 left brace, 3.0 8 less than or equal to "y" less than or equal to 4.9 2 , right brace
x
=
3
9
.
4
3
.
0
8
≤
y
≤
4
.
9
2
180
Expression 181: "x" equals 38.6 left brace, 3.0 8 less than or equal to "y" less than or equal to 4.9 2 , right brace
x
=
3
8
.
6
3
.
0
8
≤
y
≤
4
.
9
2
181
Expression 182: "x" equals 38.8 left brace, 3.0 2 less than or equal to "y" less than or equal to 4.9 8 , right brace
x
=
3
8
.
8
3
.
0
2
≤
y
≤
4
.
9
8
182
Expression 183: "x" equals 39.2 left brace, 3.0 2 less than or equal to "y" less than or equal to 4.9 8 , right brace
x
=
3
9
.
2
3
.
0
2
≤
y
≤
4
.
9
8
183
Expression 184: "x" equals 39 left brace, 3 less than or equal to "y" less than or equal to 5 , right brace
x
=
3
9
3
≤
y
≤
5
184
Expression 185: "x" equals 41.2 left brace, 2.4 less than or equal to "y" less than or equal to 3.6 , right brace
x
=
4
1
.
2
2
.
4
≤
y
≤
3
.
6
185
Expression 186: "x" equals 44.6 left brace, 2.4 less than or equal to "y" less than or equal to 3.6 , right brace
x
=
4
4
.
6
2
.
4
≤
y
≤
3
.
6
186
Expression 187: "x" equals 41.4 left brace, 2.2 less than or equal to "y" less than or equal to 3.8 , right brace
x
=
4
1
.
4
2
.
2
≤
y
≤
3
.
8
187
Expression 188: "x" equals 44.8 left brace, 2.2 less than or equal to "y" less than or equal to 3.8 , right brace
x
=
4
4
.
8
2
.
2
≤
y
≤
3
.
8
188
Expression 189: "x" equals 41.6 left brace, 2.0 8 less than or equal to "y" less than or equal to 3.9 2 , right brace
x
=
4
1
.
6
2
.
0
8
≤
y
≤
3
.
9
2
189
Expression 190: "x" equals 45 left brace, 2.0 8 less than or equal to "y" less than or equal to 3.9 2 , right brace
x
=
4
5
2
.
0
8
≤
y
≤
3
.
9
2
190
Expression 191: "x" equals 41.8 left brace, 2 less than or equal to "y" less than or equal to 3.9 8 , right brace
x
=
4
1
.
8
2
≤
y
≤
3
.
9
8
191
Expression 192: "x" equals 45.2 left brace, 2 less than or equal to "y" less than or equal to 3.9 8 , right brace
x
=
4
5
.
2
2
≤
y
≤
3
.
9
8
192
Expression 193: "x" equals 42 left brace, 2 less than or equal to "y" less than or equal to 4 , right brace
x
=
4
2
2
≤
y
≤
4
193
Expression 194: "x" equals 45.4 left brace, 2 less than or equal to "y" less than or equal to 4 , right brace
x
=
4
5
.
4
2
≤
y
≤
4
194
Expression 195: "x" equals 42.2 left brace, 2 less than or equal to "y" less than or equal to 3.9 8 , right brace
x
=
4
2
.
2
2
≤
y
≤
3
.
9
8
195
Expression 196: "x" equals 45.4 left brace, 2 less than or equal to "y" less than or equal to 3.9 8 , right brace
x
=
4
5
.
4
2
≤
y
≤
3
.
9
8
196
Expression 197: "x" equals 42.4 left brace, 2.0 8 less than or equal to "y" less than or equal to 3.9 2 , right brace
x
=
4
2
.
4
2
.
0
8
≤
y
≤
3
.
9
2
197
Expression 198: "x" equals 45.6 left brace, 2.0 8 less than or equal to "y" less than or equal to 3.9 2 , right brace
x
=
4
5
.
6
2
.
0
8
≤
y
≤
3
.
9
2
198
Expression 199: "x" equals 42.6 left brace, 2.2 less than or equal to "y" less than or equal to 3.8 , right brace
x
=
4
2
.
6
2
.
2
≤
y
≤
3
.
8
199
Expression 200: "x" equals 45.8 left brace, 2.1 less than or equal to "y" less than or equal to 3.9 , right brace
x
=
4
5
.
8
2
.
1
≤
y
≤
3
.
9
200
Expression 201: "x" equals 42.8 left brace, 2.4 less than or equal to "y" less than or equal to 3.6 , right brace
x
=
4
2
.
8
2
.
4
≤
y
≤
3
.
6
201
Expression 202: "x" equals 46 left brace, 2.2 less than or equal to "y" less than or equal to 3.8 , right brace
x
=
4
6
2
.
2
≤
y
≤
3
.
8
202
Expression 203: "x" equals 46.2 left brace, 2.4 less than or equal to "y" less than or equal to 3.6 , right brace
x
=
4
6
.
2
2
.
4
≤
y
≤
3
.
6
203
Expression 204: "x" equals 48 left brace, negative 4 less than or equal to "y" less than or equal to 4 , right brace
x
=
4
8
−
4
≤
y
≤
4
204
205
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
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)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
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less than or equal to
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greater than or equal to
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2
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negative
−
A B C
StartRoot, , EndRoot
pi
π
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equals
=
positive
+
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