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So ist ",[571,617,619,647],{"className":618},[574],[571,620,622],{"className":621},[578],[580,623,624],{"xmlns":582},[584,625,626,644],{},[587,627,628,633,636,638,642],{},[629,630,632],"mi",{"mathvariant":631},"normal","∣",[590,634,635],{},"3",[629,637,632],{"mathvariant":631},[639,640,641],"mo",{},"=",[590,643,635],{},[594,645,646],{"encoding":596},"|3| = 3",[571,648,650,673],{"className":649,"ariaHidden":601},[600],[571,651,653,657,661,666,670],{"className":652},[605],[571,654],{"className":655,"style":656},[609],"height:1em;vertical-align:-0.25em;",[571,658,660],{"className":659},[614],"∣3∣",[571,662],{"className":663,"style":665},[664],"mspace","margin-right:0.2778em;",[571,667,641],{"className":668},[669],"mrel",[571,671],{"className":672,"style":665},[664],[571,674,676,679],{"className":675},[605],[571,677],{"className":678,"style":610},[609],[571,680,635],{"className":681},[614]," und ",[571,684,686,711],{"className":685},[574],[571,687,689],{"className":688},[578],[580,690,691],{"xmlns":582},[584,692,693,708],{},[587,694,695,697,700,702,704,706],{},[629,696,632],{"mathvariant":631},[639,698,699],{},"−",[590,701,635],{},[629,703,632],{"mathvariant":631},[639,705,641],{},[590,707,635],{},[594,709,710],{"encoding":596},"|-3| = 3",[571,712,714,734,753],{"className":713,"ariaHidden":601},[600],[571,715,717,720,723,727,731],{"className":716},[605],[571,718],{"className":719,"style":656},[609],[571,721,632],{"className":722},[614],[571,724],{"className":725,"style":726},[664],"margin-right:0.2222em;",[571,728,699],{"className":729},[730],"mbin",[571,732],{"className":733,"style":726},[664],[571,735,737,740,744,747,750],{"className":736},[605],[571,738],{"className":739,"style":656},[609],[571,741,743],{"className":742},[614],"3∣",[571,745],{"className":746,"style":665},[664],[571,748,641],{"className":749},[669],[571,751],{"className":752,"style":665},[664],[571,754,756,759],{"className":755},[605],[571,757],{"className":758,"style":610},[609],[571,760,635],{"className":761},[614],".",[563,764,765,766,794,795,852,853,910,911,914,915,762],{},"Der Graph besteht aus zwei Halbgeraden: rechts von ",[571,767,769,782],{"className":768},[574],[571,770,772],{"className":771},[578],[580,773,774],{"xmlns":582},[584,775,776,780],{},[587,777,778],{},[590,779,592],{},[594,781,592],{"encoding":596},[571,783,785],{"className":784,"ariaHidden":601},[600],[571,786,788,791],{"className":787},[605],[571,789],{"className":790,"style":610},[609],[571,792,592],{"className":793},[614]," die Gerade ",[571,796,798,818],{"className":797},[574],[571,799,801],{"className":800},[578],[580,802,803],{"xmlns":582},[584,804,805,815],{},[587,806,807,810,812],{},[629,808,809],{},"y",[639,811,641],{},[629,813,814],{},"x",[594,816,817],{"encoding":596},"y = x",[571,819,821,842],{"className":820,"ariaHidden":601},[600],[571,822,824,828,833,836,839],{"className":823},[605],[571,825],{"className":826,"style":827},[609],"height:0.625em;vertical-align:-0.1944em;",[571,829,809],{"className":830,"style":832},[614,831],"mathnormal","margin-right:0.0359em;",[571,834],{"className":835,"style":665},[664],[571,837,641],{"className":838},[669],[571,840],{"className":841,"style":665},[664],[571,843,845,849],{"className":844},[605],[571,846],{"className":847,"style":848},[609],"height:0.4306em;",[571,850,814],{"className":851},[614,831],", links davon ",[571,854,856,876],{"className":855},[574],[571,857,859],{"className":858},[578],[580,860,861],{"xmlns":582},[584,862,863,873],{},[587,864,865,867,869,871],{},[629,866,809],{},[639,868,641],{},[639,870,699],{},[629,872,814],{},[594,874,875],{"encoding":596},"y = -x",[571,877,879,897],{"className":878,"ariaHidden":601},[600],[571,880,882,885,888,891,894],{"className":881},[605],[571,883],{"className":884,"style":827},[609],[571,886,809],{"className":887,"style":832},[614,831],[571,889],{"className":890,"style":665},[664],[571,892,641],{"className":893},[669],[571,895],{"className":896,"style":665},[664],[571,898,900,904,907],{"className":899},[605],[571,901],{"className":902,"style":903},[609],"height:0.6667em;vertical-align:-0.0833em;",[571,905,699],{"className":906},[614],[571,908,814],{"className":909},[614,831],". Zusammen bilden sie ein ",[567,912,913],{},"V"," mit der Spitze im Ursprung. An der Spitze hat der Graph einen ",[567,916,917],{},"Knick",[563,919,920],{},"Eigenschaften:",[922,923,924,981],"ul",{},[925,926,927,928,762],"li",{},"Definitionsmenge: alle reellen Zahlen, Wertemenge: ",[571,929,931,950],{"className":930},[574],[571,932,934],{"className":933},[578],[580,935,936],{"xmlns":582},[584,937,938,947],{},[587,939,940,942,945],{},[629,941,809],{},[639,943,944],{},"≥",[590,946,592],{},[594,948,949],{"encoding":596},"y \\ge 0",[571,951,953,972],{"className":952,"ariaHidden":601},[600],[571,954,956,960,963,966,969],{"className":955},[605],[571,957],{"className":958,"style":959},[609],"height:0.8304em;vertical-align:-0.1944em;",[571,961,809],{"className":962,"style":832},[614,831],[571,964],{"className":965,"style":665},[664],[571,967,944],{"className":968},[669],[571,970],{"className":971,"style":665},[664],[571,973,975,978],{"className":974},[605],[571,976],{"className":977,"style":610},[609],[571,979,592],{"className":980},[614],[925,982,983,984,987,988,762],{},"Der Graph ist ",[567,985,986],{},"achsensymmetrisch"," zur y-Achse, denn ",[571,989,991,1019],{"className":990},[574],[571,992,994],{"className":993},[578],[580,995,996],{"xmlns":582},[584,997,998,1016],{},[587,999,1000,1002,1004,1006,1008,1010,1012,1014],{},[629,1001,632],{"mathvariant":631},[639,1003,699],{},[629,1005,814],{},[629,1007,632],{"mathvariant":631},[639,1009,641],{},[629,1011,632],{"mathvariant":631},[629,1013,814],{},[629,1015,632],{"mathvariant":631},[594,1017,1018],{"encoding":596},"|-x| = |x|",[571,1020,1022,1040,1061],{"className":1021,"ariaHidden":601},[600],[571,1023,1025,1028,1031,1034,1037],{"className":1024},[605],[571,1026],{"className":1027,"style":656},[609],[571,1029,632],{"className":1030},[614],[571,1032],{"className":1033,"style":726},[664],[571,1035,699],{"className":1036},[730],[571,1038],{"className":1039,"style":726},[664],[571,1041,1043,1046,1049,1052,1055,1058],{"className":1042},[605],[571,1044],{"className":1045,"style":656},[609],[571,1047,814],{"className":1048},[614,831],[571,1050,632],{"className":1051},[614],[571,1053],{"className":1054,"style":665},[664],[571,1056,641],{"className":1057},[669],[571,1059],{"className":1060,"style":665},[664],[571,1062,1064,1067,1070,1073],{"className":1063},[605],[571,1065],{"className":1066,"style":656},[609],[571,1068,632],{"className":1069},[614],[571,1071,814],{"className":1072},[614,831],[571,1074,632],{"className":1075},[614],[563,1077,1078,1079,1234,1235,762],{},"Verschoben und gestreckt lautet die Funktion ",[571,1080,1082,1131],{"className":1081},[574],[571,1083,1085],{"className":1084},[578],[580,1086,1087],{"xmlns":582},[584,1088,1089,1128],{},[587,1090,1091,1094,1098,1100,1103,1105,1108,1111,1113,1115,1117,1120,1122,1125],{},[629,1092,1093],{},"f",[639,1095,1097],{"stretchy":1096},"false","(",[629,1099,814],{},[639,1101,1102],{"stretchy":1096},")",[639,1104,641],{},[629,1106,1107],{},"a",[639,1109,1110],{},"⋅",[629,1112,632],{"mathvariant":631},[629,1114,814],{},[639,1116,699],{},[629,1118,1119],{},"d",[629,1121,632],{"mathvariant":631},[639,1123,1124],{},"+",[629,1126,1127],{},"e",[594,1129,1130],{"encoding":596},"f(x) = a \\cdot |x - d| + e",[571,1132,1134,1164,1183,1204,1225],{"className":1133,"ariaHidden":601},[600],[571,1135,1137,1140,1144,1148,1151,1155,1158,1161],{"className":1136},[605],[571,1138],{"className":1139,"style":656},[609],[571,1141,1093],{"className":1142,"style":1143},[614,831],"margin-right:0.1076em;",[571,1145,1097],{"className":1146},[1147],"mopen",[571,1149,814],{"className":1150},[614,831],[571,1152,1102],{"className":1153},[1154],"mclose",[571,1156],{"className":1157,"style":665},[664],[571,1159,641],{"className":1160},[669],[571,1162],{"className":1163,"style":665},[664],[571,1165,1167,1171,1174,1177,1180],{"className":1166},[605],[571,1168],{"className":1169,"style":1170},[609],"height:0.4445em;",[571,1172,1107],{"className":1173},[614,831],[571,1175],{"className":1176,"style":726},[664],[571,1178,1110],{"className":1179},[730],[571,1181],{"className":1182,"style":726},[664],[571,1184,1186,1189,1192,1195,1198,1201],{"className":1185},[605],[571,1187],{"className":1188,"style":656},[609],[571,1190,632],{"className":1191},[614],[571,1193,814],{"className":1194},[614,831],[571,1196],{"className":1197,"style":726},[664],[571,1199,699],{"className":1200},[730],[571,1202],{"className":1203,"style":726},[664],[571,1205,1207,1210,1213,1216,1219,1222],{"className":1206},[605],[571,1208],{"className":1209,"style":656},[609],[571,1211,1119],{"className":1212},[614,831],[571,1214,632],{"className":1215},[614],[571,1217],{"className":1218,"style":726},[664],[571,1220,1124],{"className":1221},[730],[571,1223],{"className":1224,"style":726},[664],[571,1226,1228,1231],{"className":1227},[605],[571,1229],{"className":1230,"style":848},[609],[571,1232,1127],{"className":1233},[614,831],". Die Spitze liegt dann bei ",[571,1236,1238,1260],{"className":1237},[574],[571,1239,1241],{"className":1240},[578],[580,1242,1243],{"xmlns":582},[584,1244,1245,1257],{},[587,1246,1247,1249,1251,1253,1255],{},[639,1248,1097],{"stretchy":1096},[629,1250,1119],{},[639,1252,632],{},[629,1254,1127],{},[639,1256,1102],{"stretchy":1096},[594,1258,1259],{"encoding":596},"(d \\mid e)",[571,1261,1263,1284],{"className":1262,"ariaHidden":601},[600],[571,1264,1266,1269,1272,1275,1278,1281],{"className":1265},[605],[571,1267],{"className":1268,"style":656},[609],[571,1270,1097],{"className":1271},[1147],[571,1273,1119],{"className":1274},[614,831],[571,1276],{"className":1277,"style":665},[664],[571,1279,632],{"className":1280},[669],[571,1282],{"className":1283,"style":665},[664],[571,1285,1287,1290,1293],{"className":1286},[605],[571,1288],{"className":1289,"style":656},[609],[571,1291,1127],{"className":1292},[614,831],[571,1294,1102],{"className":1295},[1154],[558,1297,1299],{"id":1298},"beispiele","Beispiele",[563,1301,1302,1422,1423,1489,1490,762],{},[571,1303,1305,1343],{"className":1304},[574],[571,1306,1308],{"className":1307},[578],[580,1309,1310],{"xmlns":582},[584,1311,1312,1340],{},[587,1313,1314,1316,1318,1320,1322,1324,1326,1328,1330,1333,1335,1337],{},[629,1315,1093],{},[639,1317,1097],{"stretchy":1096},[629,1319,814],{},[639,1321,1102],{"stretchy":1096},[639,1323,641],{},[629,1325,632],{"mathvariant":631},[629,1327,814],{},[639,1329,699],{},[590,1331,1332],{},"2",[629,1334,632],{"mathvariant":631},[639,1336,699],{},[590,1338,1339],{},"1",[594,1341,1342],{"encoding":596},"f(x) = |x - 2| - 1",[571,1344,1346,1373,1394,1413],{"className":1345,"ariaHidden":601},[600],[571,1347,1349,1352,1355,1358,1361,1364,1367,1370],{"className":1348},[605],[571,1350],{"className":1351,"style":656},[609],[571,1353,1093],{"className":1354,"style":1143},[614,831],[571,1356,1097],{"className":1357},[1147],[571,1359,814],{"className":1360},[614,831],[571,1362,1102],{"className":1363},[1154],[571,1365],{"className":1366,"style":665},[664],[571,1368,641],{"className":1369},[669],[571,1371],{"className":1372,"style":665},[664],[571,1374,1376,1379,1382,1385,1388,1391],{"className":1375},[605],[571,1377],{"className":1378,"style":656},[609],[571,1380,632],{"className":1381},[614],[571,1383,814],{"className":1384},[614,831],[571,1386],{"className":1387,"style":726},[664],[571,1389,699],{"className":1390},[730],[571,1392],{"className":1393,"style":726},[664],[571,1395,1397,1400,1404,1407,1410],{"className":1396},[605],[571,1398],{"className":1399,"style":656},[609],[571,1401,1403],{"className":1402},[614],"2∣",[571,1405],{"className":1406,"style":726},[664],[571,1408,699],{"className":1409},[730],[571,1411],{"className":1412,"style":726},[664],[571,1414,1416,1419],{"className":1415},[605],[571,1417],{"className":1418,"style":610},[609],[571,1420,1339],{"className":1421},[614]," hat die Spitze bei ",[571,1424,1426,1450],{"className":1425},[574],[571,1427,1429],{"className":1428},[578],[580,1430,1431],{"xmlns":582},[584,1432,1433,1447],{},[587,1434,1435,1437,1439,1441,1443,1445],{},[639,1436,1097],{"stretchy":1096},[590,1438,1332],{},[639,1440,632],{},[639,1442,699],{},[590,1444,1339],{},[639,1446,1102],{"stretchy":1096},[594,1448,1449],{"encoding":596},"(2 \\mid -1)",[571,1451,1453,1474],{"className":1452,"ariaHidden":601},[600],[571,1454,1456,1459,1462,1465,1468,1471],{"className":1455},[605],[571,1457],{"className":1458,"style":656},[609],[571,1460,1097],{"className":1461},[1147],[571,1463,1332],{"className":1464},[614],[571,1466],{"className":1467,"style":665},[664],[571,1469,632],{"className":1470},[669],[571,1472],{"className":1473,"style":665},[664],[571,1475,1477,1480,1483,1486],{"className":1476},[605],[571,1478],{"className":1479,"style":656},[609],[571,1481,699],{"className":1482},[614],[571,1484,1339],{"className":1485},[614],[571,1487,1102],{"className":1488},[1154],", denn ",[571,1491,1493,1531],{"className":1492},[574],[571,1494,1496],{"className":1495},[578],[580,1497,1498],{"xmlns":582},[584,1499,1500,1528],{},[587,1501,1502,1504,1506,1508,1510,1512,1514,1516,1518,1520,1522,1524,1526],{},[629,1503,1093],{},[639,1505,1097],{"stretchy":1096},[590,1507,1332],{},[639,1509,1102],{"stretchy":1096},[639,1511,641],{},[629,1513,632],{"mathvariant":631},[590,1515,592],{},[629,1517,632],{"mathvariant":631},[639,1519,699],{},[590,1521,1339],{},[639,1523,641],{},[639,1525,699],{},[590,1527,1339],{},[594,1529,1530],{"encoding":596},"f(2) = |0| - 1 = -1",[571,1532,1534,1561,1580,1598],{"className":1533,"ariaHidden":601},[600],[571,1535,1537,1540,1543,1546,1549,1552,1555,1558],{"className":1536},[605],[571,1538],{"className":1539,"style":656},[609],[571,1541,1093],{"className":1542,"style":1143},[614,831],[571,1544,1097],{"className":1545},[1147],[571,1547,1332],{"className":1548},[614],[571,1550,1102],{"className":1551},[1154],[571,1553],{"className":1554,"style":665},[664],[571,1556,641],{"className":1557},[669],[571,1559],{"className":1560,"style":665},[664],[571,1562,1564,1567,1571,1574,1577],{"className":1563},[605],[571,1565],{"className":1566,"style":656},[609],[571,1568,1570],{"className":1569},[614],"∣0∣",[571,1572],{"className":1573,"style":726},[664],[571,1575,699],{"className":1576},[730],[571,1578],{"className":1579,"style":726},[664],[571,1581,1583,1586,1589,1592,1595],{"className":1582},[605],[571,1584],{"className":1585,"style":610},[609],[571,1587,1339],{"className":1588},[614],[571,1590],{"className":1591,"style":665},[664],[571,1593,641],{"className":1594},[669],[571,1596],{"className":1597,"style":665},[664],[571,1599,1601,1605,1608],{"className":1600},[605],[571,1602],{"className":1603,"style":1604},[609],"height:0.7278em;vertical-align:-0.0833em;",[571,1606,699],{"className":1607},[614],[571,1609,1339],{"className":1610},[614],[563,1612,1613,1614,1694,1695,1768,1769,1847,1848,682,1958,762],{},"Nullstellen: ",[571,1615,1617,1643],{"className":1616},[574],[571,1618,1620],{"className":1619},[578],[580,1621,1622],{"xmlns":582},[584,1623,1624,1640],{},[587,1625,1626,1628,1630,1632,1634,1636,1638],{},[629,1627,632],{"mathvariant":631},[629,1629,814],{},[639,1631,699],{},[590,1633,1332],{},[629,1635,632],{"mathvariant":631},[639,1637,641],{},[590,1639,1339],{},[594,1641,1642],{"encoding":596},"|x - 2| = 1",[571,1644,1646,1667,1685],{"className":1645,"ariaHidden":601},[600],[571,1647,1649,1652,1655,1658,1661,1664],{"className":1648},[605],[571,1650],{"className":1651,"style":656},[609],[571,1653,632],{"className":1654},[614],[571,1656,814],{"className":1657},[614,831],[571,1659],{"className":1660,"style":726},[664],[571,1662,699],{"className":1663},[730],[571,1665],{"className":1666,"style":726},[664],[571,1668,1670,1673,1676,1679,1682],{"className":1669},[605],[571,1671],{"className":1672,"style":656},[609],[571,1674,1403],{"className":1675},[614],[571,1677],{"className":1678,"style":665},[664],[571,1680,641],{"className":1681},[669],[571,1683],{"className":1684,"style":665},[664],[571,1686,1688,1691],{"className":1687},[605],[571,1689],{"className":1690,"style":610},[609],[571,1692,1339],{"className":1693},[614]," gilt für ",[571,1696,1698,1720],{"className":1697},[574],[571,1699,1701],{"className":1700},[578],[580,1702,1703],{"xmlns":582},[584,1704,1705,1717],{},[587,1706,1707,1709,1711,1713,1715],{},[629,1708,814],{},[639,1710,699],{},[590,1712,1332],{},[639,1714,641],{},[590,1716,1339],{},[594,1718,1719],{"encoding":596},"x - 2 = 1",[571,1721,1723,1741,1759],{"className":1722,"ariaHidden":601},[600],[571,1724,1726,1729,1732,1735,1738],{"className":1725},[605],[571,1727],{"className":1728,"style":903},[609],[571,1730,814],{"className":1731},[614,831],[571,1733],{"className":1734,"style":726},[664],[571,1736,699],{"className":1737},[730],[571,1739],{"className":1740,"style":726},[664],[571,1742,1744,1747,1750,1753,1756],{"className":1743},[605],[571,1745],{"className":1746,"style":610},[609],[571,1748,1332],{"className":1749},[614],[571,1751],{"className":1752,"style":665},[664],[571,1754,641],{"className":1755},[669],[571,1757],{"className":1758,"style":665},[664],[571,1760,1762,1765],{"className":1761},[605],[571,1763],{"className":1764,"style":610},[609],[571,1766,1339],{"className":1767},[614]," oder ",[571,1770,1772,1796],{"className":1771},[574],[571,1773,1775],{"className":1774},[578],[580,1776,1777],{"xmlns":582},[584,1778,1779,1793],{},[587,1780,1781,1783,1785,1787,1789,1791],{},[629,1782,814],{},[639,1784,699],{},[590,1786,1332],{},[639,1788,641],{},[639,1790,699],{},[590,1792,1339],{},[594,1794,1795],{"encoding":596},"x - 2 = -1",[571,1797,1799,1817,1835],{"className":1798,"ariaHidden":601},[600],[571,1800,1802,1805,1808,1811,1814],{"className":1801},[605],[571,1803],{"className":1804,"style":903},[609],[571,1806,814],{"className":1807},[614,831],[571,1809],{"className":1810,"style":726},[664],[571,1812,699],{"className":1813},[730],[571,1815],{"className":1816,"style":726},[664],[571,1818,1820,1823,1826,1829,1832],{"className":1819},[605],[571,1821],{"className":1822,"style":610},[609],[571,1824,1332],{"className":1825},[614],[571,1827],{"className":1828,"style":665},[664],[571,1830,641],{"className":1831},[669],[571,1833],{"className":1834,"style":665},[664],[571,1836,1838,1841,1844],{"className":1837},[605],[571,1839],{"className":1840,"style":1604},[609],[571,1842,699],{"className":1843},[614],[571,1845,1339],{"className":1846},[614],", also für ",[571,1849,1851,1874],{"className":1850},[574],[571,1852,1854],{"className":1853},[578],[580,1855,1856],{"xmlns":582},[584,1857,1858,1871],{},[587,1859,1860,1867,1869],{},[1861,1862,1863,1865],"msub",{},[629,1864,814],{},[590,1866,1339],{},[639,1868,641],{},[590,1870,635],{},[594,1872,1873],{"encoding":596},"x_1 = 3",[571,1875,1877,1949],{"className":1876,"ariaHidden":601},[600],[571,1878,1880,1884,1940,1943,1946],{"className":1879},[605],[571,1881],{"className":1882,"style":1883},[609],"height:0.5806em;vertical-align:-0.15em;",[571,1885,1887,1890],{"className":1886},[614],[571,1888,814],{"className":1889},[614,831],[571,1891,1894],{"className":1892},[1893],"msupsub",[571,1895,1899,1931],{"className":1896},[1897,1898],"vlist-t","vlist-t2",[571,1900,1903,1926],{"className":1901},[1902],"vlist-r",[571,1904,1908],{"className":1905,"style":1907},[1906],"vlist","height:0.3011em;",[571,1909,1911,1916],{"style":1910},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[571,1912],{"className":1913,"style":1915},[1914],"pstrut","height:2.7em;",[571,1917,1923],{"className":1918},[1919,1920,1921,1922],"sizing","reset-size6","size3","mtight",[571,1924,1339],{"className":1925},[614,1922],[571,1927,1930],{"className":1928},[1929],"vlist-s","​",[571,1932,1934],{"className":1933},[1902],[571,1935,1938],{"className":1936,"style":1937},[1906],"height:0.15em;",[571,1939],{},[571,1941],{"className":1942,"style":665},[664],[571,1944,641],{"className":1945},[669],[571,1947],{"className":1948,"style":665},[664],[571,1950,1952,1955],{"className":1951},[605],[571,1953],{"className":1954,"style":610},[609],[571,1956,635],{"className":1957},[614],[571,1959,1961,1983],{"className":1960},[574],[571,1962,1964],{"className":1963},[578],[580,1965,1966],{"xmlns":582},[584,1967,1968,1980],{},[587,1969,1970,1976,1978],{},[1861,1971,1972,1974],{},[629,1973,814],{},[590,1975,1332],{},[639,1977,641],{},[590,1979,1339],{},[594,1981,1982],{"encoding":596},"x_2 = 1",[571,1984,1986,2041],{"className":1985,"ariaHidden":601},[600],[571,1987,1989,1992,2032,2035,2038],{"className":1988},[605],[571,1990],{"className":1991,"style":1883},[609],[571,1993,1995,1998],{"className":1994},[614],[571,1996,814],{"className":1997},[614,831],[571,1999,2001],{"className":2000},[1893],[571,2002,2004,2024],{"className":2003},[1897,1898],[571,2005,2007,2021],{"className":2006},[1902],[571,2008,2010],{"className":2009,"style":1907},[1906],[571,2011,2012,2015],{"style":1910},[571,2013],{"className":2014,"style":1915},[1914],[571,2016,2018],{"className":2017},[1919,1920,1921,1922],[571,2019,1332],{"className":2020},[614,1922],[571,2022,1930],{"className":2023},[1929],[571,2025,2027],{"className":2026},[1902],[571,2028,2030],{"className":2029,"style":1937},[1906],[571,2031],{},[571,2033],{"className":2034,"style":665},[664],[571,2036,641],{"className":2037},[669],[571,2039],{"className":2040,"style":665},[664],[571,2042,2044,2047],{"className":2043},[605],[571,2045],{"className":2046,"style":610},[609],[571,2048,1339],{"className":2049},[614],[563,2051,2052,2053,762],{},"Der y-Achsenabschnitt ist ",[571,2054,2056,2094],{"className":2055},[574],[571,2057,2059],{"className":2058},[578],[580,2060,2061],{"xmlns":582},[584,2062,2063,2091],{},[587,2064,2065,2067,2069,2071,2073,2075,2077,2079,2081,2083,2085,2087,2089],{},[629,2066,1093],{},[639,2068,1097],{"stretchy":1096},[590,2070,592],{},[639,2072,1102],{"stretchy":1096},[639,2074,641],{},[629,2076,632],{"mathvariant":631},[639,2078,699],{},[590,2080,1332],{},[629,2082,632],{"mathvariant":631},[639,2084,699],{},[590,2086,1339],{},[639,2088,641],{},[590,2090,1339],{},[594,2092,2093],{"encoding":596},"f(0) = |-2| - 1 = 1",[571,2095,2097,2124,2142,2160,2178],{"className":2096,"ariaHidden":601},[600],[571,2098,2100,2103,2106,2109,2112,2115,2118,2121],{"className":2099},[605],[571,2101],{"className":2102,"style":656},[609],[571,2104,1093],{"className":2105,"style":1143},[614,831],[571,2107,1097],{"className":2108},[1147],[571,2110,592],{"className":2111},[614],[571,2113,1102],{"className":2114},[1154],[571,2116],{"className":2117,"style":665},[664],[571,2119,641],{"className":2120},[669],[571,2122],{"className":2123,"style":665},[664],[571,2125,2127,2130,2133,2136,2139],{"className":2126},[605],[571,2128],{"className":2129,"style":656},[609],[571,2131,632],{"className":2132},[614],[571,2134],{"className":2135,"style":726},[664],[571,2137,699],{"className":2138},[730],[571,2140],{"className":2141,"style":726},[664],[571,2143,2145,2148,2151,2154,2157],{"className":2144},[605],[571,2146],{"className":2147,"style":656},[609],[571,2149,1403],{"className":2150},[614],[571,2152],{"className":2153,"style":726},[664],[571,2155,699],{"className":2156},[730],[571,2158],{"className":2159,"style":726},[664],[571,2161,2163,2166,2169,2172,2175],{"className":2162},[605],[571,2164],{"className":2165,"style":610},[609],[571,2167,1339],{"className":2168},[614],[571,2170],{"className":2171,"style":665},[664],[571,2173,641],{"className":2174},[669],[571,2176],{"className":2177,"style":665},[664],[571,2179,2181,2184],{"className":2180},[605],[571,2182],{"className":2183,"style":610},[609],[571,2185,1339],{"className":2186},[614],[558,2188,2190],{"id":2189},"typische-fehler","Typische Fehler",[922,2192,2193,2316,2451],{},[925,2194,2195,2253,2254,2315],{},[571,2196,2198,2220],{"className":2197},[574],[571,2199,2201],{"className":2200},[578],[580,2202,2203],{"xmlns":582},[584,2204,2205,2217],{},[587,2206,2207,2209,2211,2213,2215],{},[629,2208,632],{"mathvariant":631},[629,2210,814],{},[639,2212,699],{},[590,2214,1332],{},[629,2216,632],{"mathvariant":631},[594,2218,2219],{"encoding":596},"|x - 2|",[571,2221,2223,2244],{"className":2222,"ariaHidden":601},[600],[571,2224,2226,2229,2232,2235,2238,2241],{"className":2225},[605],[571,2227],{"className":2228,"style":656},[609],[571,2230,632],{"className":2231},[614],[571,2233,814],{"className":2234},[614,831],[571,2236],{"className":2237,"style":726},[664],[571,2239,699],{"className":2240},[730],[571,2242],{"className":2243,"style":726},[664],[571,2245,2247,2250],{"className":2246},[605],[571,2248],{"className":2249,"style":656},[609],[571,2251,1403],{"className":2252},[614]," als ",[571,2255,2257,2279],{"className":2256},[574],[571,2258,2260],{"className":2259},[578],[580,2261,2262],{"xmlns":582},[584,2263,2264,2276],{},[587,2265,2266,2268,2270,2272,2274],{},[629,2267,632],{"mathvariant":631},[629,2269,814],{},[629,2271,632],{"mathvariant":631},[639,2273,699],{},[590,2275,1332],{},[594,2277,2278],{"encoding":596},"|x| - 2",[571,2280,2282,2306],{"className":2281,"ariaHidden":601},[600],[571,2283,2285,2288,2291,2294,2297,2300,2303],{"className":2284},[605],[571,2286],{"className":2287,"style":656},[609],[571,2289,632],{"className":2290},[614],[571,2292,814],{"className":2293},[614,831],[571,2295,632],{"className":2296},[614],[571,2298],{"className":2299,"style":726},[664],[571,2301,699],{"className":2302},[730],[571,2304],{"className":2305,"style":726},[664],[571,2307,2309,2312],{"className":2308},[605],[571,2310],{"className":2311,"style":610},[609],[571,2313,1332],{"className":2314},[614]," lesen. Der Betrag gilt für die ganze Klammer.",[925,2317,2318,2319,2398,2399,2450],{},"Bei ",[571,2320,2322,2347],{"className":2321},[574],[571,2323,2325],{"className":2324},[578],[580,2326,2327],{"xmlns":582},[584,2328,2329,2345],{},[587,2330,2331,2333,2335,2337,2339,2341,2343],{},[629,2332,632],{"mathvariant":631},[629,2334,814],{},[639,2336,699],{},[590,2338,1332],{},[629,2340,632],{"mathvariant":631},[639,2342,641],{},[590,2344,1339],{},[594,2346,1642],{"encoding":596},[571,2348,2350,2371,2389],{"className":2349,"ariaHidden":601},[600],[571,2351,2353,2356,2359,2362,2365,2368],{"className":2352},[605],[571,2354],{"className":2355,"style":656},[609],[571,2357,632],{"className":2358},[614],[571,2360,814],{"className":2361},[614,831],[571,2363],{"className":2364,"style":726},[664],[571,2366,699],{"className":2367},[730],[571,2369],{"className":2370,"style":726},[664],[571,2372,2374,2377,2380,2383,2386],{"className":2373},[605],[571,2375],{"className":2376,"style":656},[609],[571,2378,1403],{"className":2379},[614],[571,2381],{"className":2382,"style":665},[664],[571,2384,641],{"className":2385},[669],[571,2387],{"className":2388,"style":665},[664],[571,2390,2392,2395],{"className":2391},[605],[571,2393],{"className":2394,"style":610},[609],[571,2396,1339],{"className":2397},[614]," nur die Lösung ",[571,2400,2402,2420],{"className":2401},[574],[571,2403,2405],{"className":2404},[578],[580,2406,2407],{"xmlns":582},[584,2408,2409,2417],{},[587,2410,2411,2413,2415],{},[629,2412,814],{},[639,2414,641],{},[590,2416,635],{},[594,2418,2419],{"encoding":596},"x = 3",[571,2421,2423,2441],{"className":2422,"ariaHidden":601},[600],[571,2424,2426,2429,2432,2435,2438],{"className":2425},[605],[571,2427],{"className":2428,"style":848},[609],[571,2430,814],{"className":2431},[614,831],[571,2433],{"className":2434,"style":665},[664],[571,2436,641],{"className":2437},[669],[571,2439],{"className":2440,"style":665},[664],[571,2442,2444,2447],{"className":2443},[605],[571,2445],{"className":2446,"style":610},[609],[571,2448,635],{"className":2449},[614]," finden. Es gibt immer zwei Fälle, wenn rechts eine positive Zahl steht.",[925,2452,2453,2454,2488,2489,2542,2543,2576,2577,762],{},"Glauben, ",[571,2455,2457,2473],{"className":2456},[574],[571,2458,2460],{"className":2459},[578],[580,2461,2462],{"xmlns":582},[584,2463,2464,2470],{},[587,2465,2466,2468],{},[639,2467,699],{},[629,2469,814],{},[594,2471,2472],{"encoding":596},"-x",[571,2474,2476],{"className":2475,"ariaHidden":601},[600],[571,2477,2479,2482,2485],{"className":2478},[605],[571,2480],{"className":2481,"style":903},[609],[571,2483,699],{"className":2484},[614],[571,2486,814],{"className":2487},[614,831]," sei immer negativ. Für ",[571,2490,2492,2511],{"className":2491},[574],[571,2493,2495],{"className":2494},[578],[580,2496,2497],{"xmlns":582},[584,2498,2499,2508],{},[587,2500,2501,2503,2506],{},[629,2502,814],{},[639,2504,2505],{},"\u003C",[590,2507,592],{},[594,2509,2510],{"encoding":596},"x \u003C 0",[571,2512,2514,2533],{"className":2513,"ariaHidden":601},[600],[571,2515,2517,2521,2524,2527,2530],{"className":2516},[605],[571,2518],{"className":2519,"style":2520},[609],"height:0.5782em;vertical-align:-0.0391em;",[571,2522,814],{"className":2523},[614,831],[571,2525],{"className":2526,"style":665},[664],[571,2528,2505],{"className":2529},[669],[571,2531],{"className":2532,"style":665},[664],[571,2534,2536,2539],{"className":2535},[605],[571,2537],{"className":2538,"style":610},[609],[571,2540,592],{"className":2541},[614]," ist ",[571,2544,2546,2561],{"className":2545},[574],[571,2547,2549],{"className":2548},[578],[580,2550,2551],{"xmlns":582},[584,2552,2553,2559],{},[587,2554,2555,2557],{},[639,2556,699],{},[629,2558,814],{},[594,2560,2472],{"encoding":596},[571,2562,2564],{"className":2563,"ariaHidden":601},[600],[571,2565,2567,2570,2573],{"className":2566},[605],[571,2568],{"className":2569,"style":903},[609],[571,2571,699],{"className":2572},[614],[571,2574,814],{"className":2575},[614,831]," positiv, deshalb steht in der Fallunterscheidung ",[571,2578,2580,2595],{"className":2579},[574],[571,2581,2583],{"className":2582},[578],[580,2584,2585],{"xmlns":582},[584,2586,2587,2593],{},[587,2588,2589,2591],{},[639,2590,699],{},[629,2592,814],{},[594,2594,2472],{"encoding":596},[571,2596,2598],{"className":2597,"ariaHidden":601},[600],[571,2599,2601,2604,2607],{"className":2600},[605],[571,2602],{"className":2603,"style":903},[609],[571,2605,699],{"className":2606},[614],[571,2608,814],{"className":2609},[614,831],{"title":2611,"searchDepth":2612,"depth":2612,"links":2613},"",2,[2614,2615,2616],{"id":560,"depth":2612,"text":561},{"id":1298,"depth":2612,"text":1299},{"id":2189,"depth":2612,"text":2190},[2618,2621,2623,2625,2628,2630,2632],{"lhs":2619,"rhs":2620},"abs(x)","sqrt(x^2)",{"lhs":2622,"rhs":2619},"abs(-x)",{"lhs":2624,"rhs":635},"abs(-3)",{"lhs":2626,"rhs":2627},"abs(2 - 2) - 1","-1",{"lhs":2629,"rhs":592},"abs(1 - 2) - 1",{"lhs":2631,"rhs":592},"abs(3 - 2) - 1",{"lhs":2633,"rhs":1339},"abs(0 - 2) - 1",null,"md",{"caption":2637,"x":2638,"y":2641,"unit":2644,"axes":2645,"items":2646},"Graph der Betragsfunktion f(x) = |x| mit der Spitze im Ursprung, grau verschoben f(x) = |x − 2| − 1 mit der Spitze (2 | −1)",[2639,2640],-3.5,4.5,[2642,2643],-1.8,3.5,36,true,[2647,2651,2652,2656,2663],{"type":2648,"expr":2649,"style":2650},"function","abs(x - 2) - 1","muted",{"type":2648,"expr":2619},{"type":2653,"at":2654},"point",[2655,2655],0,{"type":2653,"at":2657,"label":2659,"offset":2660},[2612,2658],-1,"(2 | −1)",[2661,2662],8,10,{"type":2664,"at":2665,"text":1093},"label",[2666,2612],-2.6,"\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 288 190.8\" width=\"288\" height=\"190.8\" role=\"img\" aria-label=\"Graph der Betragsfunktion f(x) = |x| mit der Spitze im Ursprung, grau verschoben f(x) = |x − 2| − 1 mit der Spitze (2 | −1)\" class=\"formula-figure-svg\">\u003Cdefs>\u003Cmarker id=\"fig-absolute-value-function-arrow\" viewBox=\"0 0 10 10\" refX=\"9\" 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