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",[573,1102,1104,1123],{"className":1103},[576],[573,1105,1107],{"className":1106},[580],[582,1108,1109],{"xmlns":584},[586,1110,1111,1120],{},[589,1112,1113],{},[1114,1115,1116,1118],"mfrac",{},[595,1117,853],{},[685,1119,687],{},[603,1121,1122],{"encoding":605},"\\frac{1}{x}",[573,1124,1126],{"className":1125,"ariaHidden":611},[610],[573,1127,1129,1133],{"className":1128},[615],[573,1130],{"className":1131,"style":1132},[619],"height:1.1901em;vertical-align:-0.345em;",[573,1134,1136,1140,1210],{"className":1135},[624],[573,1137],{"className":1138},[753,1139],"nulldelimiter",[573,1141,1143],{"className":1142},[1114],[573,1144,1147,1201],{"className":1145},[640,1146],"vlist-t2",[573,1148,1150,1196],{"className":1149},[644],[573,1151,1154,1170,1181],{"className":1152,"style":1153},[648],"height:0.8451em;",[573,1155,1157,1161],{"style":1156},"top:-2.655em;",[573,1158],{"className":1159,"style":1160},[655],"height:3em;",[573,1162,1164],{"className":1163},[660,661,662,663],[573,1165,1167],{"className":1166},[624,663],[573,1168,687],{"className":1169},[624,707,663],[573,1171,1173,1176],{"style":1172},"top:-3.23em;",[573,1174],{"className":1175,"style":1160},[655],[573,1177],{"className":1178,"style":1180},[1179],"frac-line","border-bottom-width:0.04em;",[573,1182,1184,1187],{"style":1183},"top:-3.394em;",[573,1185],{"className":1186,"style":1160},[655],[573,1188,1190],{"className":1189},[660,661,662,663],[573,1191,1193],{"className":1192},[624,663],[573,1194,853],{"className":1195},[624,663],[573,1197,1200],{"className":1198},[1199],"vlist-s","​",[573,1202,1204],{"className":1203},[644],[573,1205,1208],{"className":1206,"style":1207},[648],"height:0.345em;",[573,1209],{},[573,1211],{"className":1212},[760,1139],[564,1214,1215,1216,1245,1246,1336,1337,1403],{},"Gehört ",[573,1217,1219,1232],{"className":1218},[576],[573,1220,1222],{"className":1221},[580],[582,1223,1224],{"xmlns":584},[586,1225,1226,1230],{},[589,1227,1228],{},[595,1229,632],{},[603,1231,632],{"encoding":605},[573,1233,1235],{"className":1234,"ariaHidden":611},[610],[573,1236,1238,1242],{"className":1237},[615],[573,1239],{"className":1240,"style":1241},[619],"height:0.6444em;",[573,1243,632],{"className":1244},[624]," zum Definitionsbereich, gilt ",[573,1247,1249,1282],{"className":1248},[576],[573,1250,1252],{"className":1251},[580],[582,1253,1254],{"xmlns":584},[586,1255,1256,1279],{},[589,1257,1258,1260,1262,1264,1266,1269,1271,1273,1275,1277],{},[685,1259,723],{},[599,1261,727],{"stretchy":726},[595,1263,632],{},[599,1265,732],{"stretchy":726},[599,1267,1268],{},"=",[599,1270,683],{},[685,1272,723],{},[599,1274,727],{"stretchy":726},[595,1276,632],{},[599,1278,732],{"stretchy":726},[603,1280,1281],{"encoding":605},"f(0) = -f(0)",[573,1283,1285,1315],{"className":1284,"ariaHidden":611},[610],[573,1286,1288,1291,1294,1297,1300,1303,1308,1312],{"className":1287},[615],[573,1289],{"className":1290,"style":745},[619],[573,1292,723],{"className":1293,"style":749},[624,707],[573,1295,727],{"className":1296},[753],[573,1298,632],{"className":1299},[624],[573,1301,732],{"className":1302},[760],[573,1304],{"className":1305,"style":1307},[1306],"mspace","margin-right:0.2778em;",[573,1309,1268],{"className":1310},[1311],"mrel",[573,1313],{"className":1314,"style":1307},[1306],[573,1316,1318,1321,1324,1327,1330,1333],{"className":1317},[615],[573,1319],{"className":1320,"style":745},[619],[573,1322,683],{"className":1323},[624],[573,1325,723],{"className":1326,"style":749},[624,707],[573,1328,727],{"className":1329},[753],[573,1331,632],{"className":1332},[624],[573,1334,732],{"className":1335},[760],", also ",[573,1338,1340,1364],{"className":1339},[576],[573,1341,1343],{"className":1342},[580],[582,1344,1345],{"xmlns":584},[586,1346,1347,1361],{},[589,1348,1349,1351,1353,1355,1357,1359],{},[685,1350,723],{},[599,1352,727],{"stretchy":726},[595,1354,632],{},[599,1356,732],{"stretchy":726},[599,1358,1268],{},[595,1360,632],{},[603,1362,1363],{"encoding":605},"f(0) = 0",[573,1365,1367,1394],{"className":1366,"ariaHidden":611},[610],[573,1368,1370,1373,1376,1379,1382,1385,1388,1391],{"className":1369},[615],[573,1371],{"className":1372,"style":745},[619],[573,1374,723],{"className":1375,"style":749},[624,707],[573,1377,727],{"className":1378},[753],[573,1380,632],{"className":1381},[624],[573,1383,732],{"className":1384},[760],[573,1386],{"className":1387,"style":1307},[1306],[573,1389,1268],{"className":1390},[1311],[573,1392],{"className":1393,"style":1307},[1306],[573,1395,1397,1400],{"className":1396},[615],[573,1398],{"className":1399,"style":1241},[619],[573,1401,632],{"className":1402},[624],": Der Graph geht dann durch den Ursprung.",[559,1405,1407],{"id":1406},"beispiele","Beispiele",[564,1409,1410,1538],{},[573,1411,1413,1449],{"className":1412},[576],[573,1414,1416],{"className":1415},[580],[582,1417,1418],{"xmlns":584},[586,1419,1420,1446],{},[589,1421,1422,1424,1426,1428,1430,1432,1439,1441,1444],{},[685,1423,723],{},[599,1425,727],{"stretchy":726},[685,1427,687],{},[599,1429,732],{"stretchy":726},[599,1431,1268],{},[592,1433,1434,1436],{},[685,1435,687],{},[595,1437,1438],{},"3",[599,1440,683],{},[595,1442,1443],{},"2",[685,1445,687],{},[603,1447,1448],{"encoding":605},"f(x) = x^3 - 2x",[573,1450,1452,1479,1526],{"className":1451,"ariaHidden":611},[610],[573,1453,1455,1458,1461,1464,1467,1470,1473,1476],{"className":1454},[615],[573,1456],{"className":1457,"style":745},[619],[573,1459,723],{"className":1460,"style":749},[624,707],[573,1462,727],{"className":1463},[753],[573,1465,687],{"className":1466},[624,707],[573,1468,732],{"className":1469},[760],[573,1471],{"className":1472,"style":1307},[1306],[573,1474,1268],{"className":1475},[1311],[573,1477],{"className":1478,"style":1307},[1306],[573,1480,1482,1486,1516,1520,1523],{"className":1481},[615],[573,1483],{"className":1484,"style":1485},[619],"height:0.8974em;vertical-align:-0.0833em;",[573,1487,1489,1492],{"className":1488},[624],[573,1490,687],{"className":1491},[624,707],[573,1493,1495],{"className":1494},[636],[573,1496,1498],{"className":1497},[640],[573,1499,1501],{"className":1500},[644],[573,1502,1505],{"className":1503,"style":1504},[648],"height:0.8141em;",[573,1506,1507,1510],{"style":651},[573,1508],{"className":1509,"style":656},[655],[573,1511,1513],{"className":1512},[660,661,662,663],[573,1514,1438],{"className":1515},[624,663],[573,1517],{"className":1518,"style":1519},[1306],"margin-right:0.2222em;",[573,1521,683],{"className":1522},[667],[573,1524],{"className":1525,"style":1519},[1306],[573,1527,1529,1532,1535],{"className":1528},[615],[573,1530],{"className":1531,"style":1241},[619],[573,1533,1443],{"className":1534},[624],[573,1536,687],{"className":1537},[624,707],":",[573,1540,1543],{"className":1541},[1542],"katex-display",[573,1544,1546,1646],{"className":1545},[576],[573,1547,1549],{"className":1548},[580],[582,1550,1552],{"xmlns":584,"display":1551},"block",[586,1553,1554,1643],{},[589,1555,1556,1558,1560,1562,1564,1566,1568,1570,1572,1574,1580,1582,1584,1586,1588,1590,1592,1594,1596,1602,1605,1607,1609,1611,1613,1631,1633,1635,1637,1639,1641],{},[685,1557,723],{},[599,1559,727],{"stretchy":726},[599,1561,683],{},[685,1563,687],{},[599,1565,732],{"stretchy":726},[599,1567,1268],{},[599,1569,727],{"stretchy":726},[599,1571,683],{},[685,1573,687],{},[592,1575,1576,1578],{},[599,1577,732],{"stretchy":726},[595,1579,1438],{},[599,1581,683],{},[595,1583,1443],{},[599,1585,727],{"stretchy":726},[599,1587,683],{},[685,1589,687],{},[599,1591,732],{"stretchy":726},[599,1593,1268],{},[599,1595,683],{},[592,1597,1598,1600],{},[685,1599,687],{},[595,1601,1438],{},[599,1603,1604],{},"+",[595,1606,1443],{},[685,1608,687],{},[599,1610,1268],{},[599,1612,683],{},[589,1614,1615,1617,1623,1625,1627,1629],{},[599,1616,727],{"fence":611},[592,1618,1619,1621],{},[685,1620,687],{},[595,1622,1438],{},[599,1624,683],{},[595,1626,1443],{},[685,1628,687],{},[599,1630,732],{"fence":611},[599,1632,1268],{},[599,1634,683],{},[685,1636,723],{},[599,1638,727],{"stretchy":726},[685,1640,687],{},[599,1642,732],{"stretchy":726},[603,1644,1645],{"encoding":605},"f(-x) = (-x)^3 - 2(-x) = -x^3 + 2x = -\\left(x^3 - 2x\\right) = -f(x)",[573,1647,1649,1679,1735,1765,1813,1834,1921],{"className":1648,"ariaHidden":611},[610],[573,1650,1652,1655,1658,1661,1664,1667,1670,1673,1676],{"className":1651},[615],[573,1653],{"className":1654,"style":745},[619],[573,1656,723],{"className":1657,"style":749},[624,707],[573,1659,727],{"className":1660},[753],[573,1662,683],{"className":1663},[624],[573,1665,687],{"className":1666},[624,707],[573,1668,732],{"className":1669},[760],[573,1671],{"className":1672,"style":1307},[1306],[573,1674,1268],{"className":1675},[1311],[573,1677],{"className":1678,"style":1307},[1306],[573,1680,1682,1686,1689,1692,1695,1726,1729,1732],{"className":1681},[615],[573,1683],{"className":1684,"style":1685},[619],"height:1.1141em;vertical-align:-0.25em;",[573,1687,727],{"className":1688},[753],[573,1690,683],{"className":1691},[624],[573,1693,687],{"className":1694},[624,707],[573,1696,1698,1701],{"className":1697},[760],[573,1699,732],{"className":1700},[760],[573,1702,1704],{"className":1703},[636],[573,1705,1707],{"className":1706},[640],[573,1708,1710],{"className":1709},[644],[573,1711,1714],{"className":1712,"style":1713},[648],"height:0.8641em;",[573,1715,1717,1720],{"style":1716},"top:-3.113em;margin-right:0.05em;",[573,1718],{"className":1719,"style":656},[655],[573,1721,1723],{"className":1722},[660,661,662,663],[573,1724,1438],{"className":1725},[624,663],[573,1727],{"className":1728,"style":1519},[1306],[573,1730,683],{"className":1731},[667],[573,1733],{"className":1734,"style":1519},[1306],[573,1736,1738,1741,1744,1747,1750,1753,1756,1759,1762],{"className":1737},[615],[573,1739],{"className":1740,"style":745},[619],[573,1742,1443],{"className":1743},[624],[573,1745,727],{"className":1746},[753],[573,1748,683],{"className":1749},[624],[573,1751,687],{"className":1752},[624,707],[573,1754,732],{"className":1755},[760],[573,1757],{"className":1758,"style":1307},[1306],[573,1760,1268],{"className":1761},[1311],[573,1763],{"className":1764,"style":1307},[1306],[573,1766,1768,1772,1775,1804,1807,1810],{"className":1767},[615],[573,1769],{"className":1770,"style":1771},[619],"height:0.9474em;vertical-align:-0.0833em;",[573,1773,683],{"className":1774},[624],[573,1776,1778,1781],{"className":1777},[624],[573,1779,687],{"className":1780},[624,707],[573,1782,1784],{"className":1783},[636],[573,1785,1787],{"className":1786},[640],[573,1788,1790],{"className":1789},[644],[573,1791,1793],{"className":1792,"style":1713},[648],[573,1794,1795,1798],{"style":1716},[573,1796],{"className":1797,"style":656},[655],[573,1799,1801],{"className":1800},[660,661,662,663],[573,1802,1438],{"className":1803},[624,663],[573,1805],{"className":1806,"style":1519},[1306],[573,1808,1604],{"className":1809},[667],[573,1811],{"className":1812,"style":1519},[1306],[573,1814,1816,1819,1822,1825,1828,1831],{"className":1815},[615],[573,1817],{"className":1818,"style":1241},[619],[573,1820,1443],{"className":1821},[624],[573,1823,687],{"className":1824},[624,707],[573,1826],{"className":1827,"style":1307},[1306],[573,1829,1268],{"className":1830},[1311],[573,1832],{"className":1833,"style":1307},[1306],[573,1835,1837,1841,1844,1848,1912,1915,1918],{"className":1836},[615],[573,1838],{"className":1839,"style":1840},[619],"height:1.2141em;vertical-align:-0.35em;",[573,1842,683],{"className":1843},[624],[573,1845],{"className":1846,"style":1847},[1306],"margin-right:0.1667em;",[573,1849,1852,1862,1891,1894,1897,1900,1903,1906],{"className":1850},[1851],"minner",[573,1853,1857],{"className":1854,"style":1856},[753,1855],"delimcenter","top:0em;",[573,1858,727],{"className":1859},[1860,1861],"delimsizing","size1",[573,1863,1865,1868],{"className":1864},[624],[573,1866,687],{"className":1867},[624,707],[573,1869,1871],{"className":1870},[636],[573,1872,1874],{"className":1873},[640],[573,1875,1877],{"className":1876},[644],[573,1878,1880],{"className":1879,"style":1713},[648],[573,1881,1882,1885],{"style":1716},[573,1883],{"className":1884,"style":656},[655],[573,1886,1888],{"className":1887},[660,661,662,663],[573,1889,1438],{"className":1890},[624,663],[573,1892],{"className":1893,"style":1519},[1306],[573,1895,683],{"className":1896},[667],[573,1898],{"className":1899,"style":1519},[1306],[573,1901,1443],{"className":1902},[624],[573,1904,687],{"className":1905},[624,707],[573,1907,1909],{"className":1908,"style":1856},[760,1855],[573,1910,732],{"className":1911},[1860,1861],[573,1913],{"className":1914,"style":1307},[1306],[573,1916,1268],{"className":1917},[1311],[573,1919],{"className":1920,"style":1307},[1306],[573,1922,1924,1927,1930,1933,1936,1939],{"className":1923},[615],[573,1925],{"className":1926,"style":745},[619],[573,1928,683],{"className":1929},[624],[573,1931,723],{"className":1932,"style":749},[624,707],[573,1934,727],{"className":1935},[753],[573,1937,687],{"className":1938},[624,707],[573,1940,732],{"className":1941},[760],[564,1943,1944],{},"Der Graph ist punktsymmetrisch zum Ursprung. Ungerade Potenzen behalten das Minuszeichen.",[564,1946,1947,2065,2066,2069,2070,2141,2142,2218,2219,2247,2248,765],{},[573,1948,1950,1982],{"className":1949},[576],[573,1951,1953],{"className":1952},[580],[582,1954,1955],{"xmlns":584},[586,1956,1957,1979],{},[589,1958,1959,1961,1963,1965,1967,1969,1975,1977],{},[685,1960,723],{},[599,1962,727],{"stretchy":726},[685,1964,687],{},[599,1966,732],{"stretchy":726},[599,1968,1268],{},[592,1970,1971,1973],{},[685,1972,687],{},[595,1974,1438],{},[599,1976,1604],{},[595,1978,853],{},[603,1980,1981],{"encoding":605},"f(x) = x^3 + 1",[573,1983,1985,2012,2056],{"className":1984,"ariaHidden":611},[610],[573,1986,1988,1991,1994,1997,2000,2003,2006,2009],{"className":1987},[615],[573,1989],{"className":1990,"style":745},[619],[573,1992,723],{"className":1993,"style":749},[624,707],[573,1995,727],{"className":1996},[753],[573,1998,687],{"className":1999},[624,707],[573,2001,732],{"className":2002},[760],[573,2004],{"className":2005,"style":1307},[1306],[573,2007,1268],{"className":2008},[1311],[573,2010],{"className":2011,"style":1307},[1306],[573,2013,2015,2018,2047,2050,2053],{"className":2014},[615],[573,2016],{"className":2017,"style":1485},[619],[573,2019,2021,2024],{"className":2020},[624],[573,2022,687],{"className":2023},[624,707],[573,2025,2027],{"className":2026},[636],[573,2028,2030],{"className":2029},[640],[573,2031,2033],{"className":2032},[644],[573,2034,2036],{"className":2035,"style":1504},[648],[573,2037,2038,2041],{"style":651},[573,2039],{"className":2040,"style":656},[655],[573,2042,2044],{"className":2043},[660,661,662,663],[573,2045,1438],{"className":2046},[624,663],[573,2048],{"className":2049,"style":1519},[1306],[573,2051,1604],{"className":2052},[667],[573,2054],{"className":2055,"style":1519},[1306],[573,2057,2059,2062],{"className":2058},[615],[573,2060],{"className":2061,"style":1241},[619],[573,2063,853],{"className":2064},[624]," ist ",[568,2067,2068],{},"nicht"," punktsymmetrisch zum Ursprung: ",[573,2071,2073,2099],{"className":2072},[576],[573,2074,2076],{"className":2075},[580],[582,2077,2078],{"xmlns":584},[586,2079,2080,2096],{},[589,2081,2082,2084,2086,2088,2090,2092,2094],{},[685,2083,723],{},[599,2085,727],{"stretchy":726},[599,2087,683],{},[595,2089,853],{},[599,2091,732],{"stretchy":726},[599,2093,1268],{},[595,2095,632],{},[603,2097,2098],{"encoding":605},"f(-1) = 0",[573,2100,2102,2132],{"className":2101,"ariaHidden":611},[610],[573,2103,2105,2108,2111,2114,2117,2120,2123,2126,2129],{"className":2104},[615],[573,2106],{"className":2107,"style":745},[619],[573,2109,723],{"className":2110,"style":749},[624,707],[573,2112,727],{"className":2113},[753],[573,2115,683],{"className":2116},[624],[573,2118,853],{"className":2119},[624],[573,2121,732],{"className":2122},[760],[573,2124],{"className":2125,"style":1307},[1306],[573,2127,1268],{"className":2128},[1311],[573,2130],{"className":2131,"style":1307},[1306],[573,2133,2135,2138],{"className":2134},[615],[573,2136],{"className":2137,"style":1241},[619],[573,2139,632],{"className":2140},[624],", aber ",[573,2143,2145,2173],{"className":2144},[576],[573,2146,2148],{"className":2147},[580],[582,2149,2150],{"xmlns":584},[586,2151,2152,2170],{},[589,2153,2154,2156,2158,2160,2162,2164,2166,2168],{},[599,2155,683],{},[685,2157,723],{},[599,2159,727],{"stretchy":726},[595,2161,853],{},[599,2163,732],{"stretchy":726},[599,2165,1268],{},[599,2167,683],{},[595,2169,1443],{},[603,2171,2172],{"encoding":605},"-f(1) = -2",[573,2174,2176,2206],{"className":2175,"ariaHidden":611},[610],[573,2177,2179,2182,2185,2188,2191,2194,2197,2200,2203],{"className":2178},[615],[573,2180],{"className":2181,"style":745},[619],[573,2183,683],{"className":2184},[624],[573,2186,723],{"className":2187,"style":749},[624,707],[573,2189,727],{"className":2190},[753],[573,2192,853],{"className":2193},[624],[573,2195,732],{"className":2196},[760],[573,2198],{"className":2199,"style":1307},[1306],[573,2201,1268],{"className":2202},[1311],[573,2204],{"className":2205,"style":1307},[1306],[573,2207,2209,2212,2215],{"className":2208},[615],[573,2210],{"className":2211,"style":866},[619],[573,2213,683],{"className":2214},[624],[573,2216,1443],{"className":2217},[624],". Der Graph ist nur um ",[573,2220,2222,2235],{"className":2221},[576],[573,2223,2225],{"className":2224},[580],[582,2226,2227],{"xmlns":584},[586,2228,2229,2233],{},[589,2230,2231],{},[595,2232,853],{},[603,2234,853],{"encoding":605},[573,2236,2238],{"className":2237,"ariaHidden":611},[610],[573,2239,2241,2244],{"className":2240},[615],[573,2242],{"className":2243,"style":1241},[619],[573,2245,853],{"className":2246},[624]," nach oben verschoben und deshalb punktsymmetrisch zum Punkt ",[573,2249,2251,2274],{"className":2250},[576],[573,2252,2254],{"className":2253},[580],[582,2255,2256],{"xmlns":584},[586,2257,2258,2271],{},[589,2259,2260,2262,2264,2267,2269],{},[599,2261,727],{"stretchy":726},[595,2263,632],{},[599,2265,2266],{},"∣",[595,2268,853],{},[599,2270,732],{"stretchy":726},[603,2272,2273],{"encoding":605},"(0 \\mid 1)",[573,2275,2277,2298],{"className":2276,"ariaHidden":611},[610],[573,2278,2280,2283,2286,2289,2292,2295],{"className":2279},[615],[573,2281],{"className":2282,"style":745},[619],[573,2284,727],{"className":2285},[753],[573,2287,632],{"className":2288},[624],[573,2290],{"className":2291,"style":1307},[1306],[573,2293,2266],{"className":2294},[1311],[573,2296],{"className":2297,"style":1307},[1306],[573,2299,2301,2304,2307],{"className":2300},[615],[573,2302],{"className":2303,"style":745},[619],[573,2305,853],{"className":2306},[624],[573,2308,732],{"className":2309},[760],[559,2311,2313],{"id":2312},"typische-fehler","Typische Fehler",[991,2315,2316,2511,2549],{},[994,2317,2318,2319,2368,2369,2412,2413,2461,2462,2510],{},"Nur ",[573,2320,2322,2344],{"className":2321},[576],[573,2323,2325],{"className":2324},[580],[582,2326,2327],{"xmlns":584},[586,2328,2329,2341],{},[589,2330,2331,2333,2335,2337,2339],{},[685,2332,723],{},[599,2334,727],{"stretchy":726},[599,2336,683],{},[685,2338,687],{},[599,2340,732],{"stretchy":726},[603,2342,2343],{"encoding":605},"f(-x)",[573,2345,2347],{"className":2346,"ariaHidden":611},[610],[573,2348,2350,2353,2356,2359,2362,2365],{"className":2349},[615],[573,2351],{"className":2352,"style":745},[619],[573,2354,723],{"className":2355,"style":749},[624,707],[573,2357,727],{"className":2358},[753],[573,2360,683],{"className":2361},[624],[573,2363,687],{"className":2364},[624,707],[573,2366,732],{"className":2367},[760]," ausrechnen und mit ",[573,2370,2372,2391],{"className":2371},[576],[573,2373,2375],{"className":2374},[580],[582,2376,2377],{"xmlns":584},[586,2378,2379,2389],{},[589,2380,2381,2383,2385,2387],{},[685,2382,723],{},[599,2384,727],{"stretchy":726},[685,2386,687],{},[599,2388,732],{"stretchy":726},[603,2390,735],{"encoding":605},[573,2392,2394],{"className":2393,"ariaHidden":611},[610],[573,2395,2397,2400,2403,2406,2409],{"className":2396},[615],[573,2398],{"className":2399,"style":745},[619],[573,2401,723],{"className":2402,"style":749},[624,707],[573,2404,727],{"className":2405},[753],[573,2407,687],{"className":2408},[624,707],[573,2410,732],{"className":2411},[760]," vergleichen: Für Punktsymmetrie muss ",[573,2414,2416,2437],{"className":2415},[576],[573,2417,2419],{"className":2418},[580],[582,2420,2421],{"xmlns":584},[586,2422,2423,2435],{},[589,2424,2425,2427,2429,2431,2433],{},[685,2426,723],{},[599,2428,727],{"stretchy":726},[599,2430,683],{},[685,2432,687],{},[599,2434,732],{"stretchy":726},[603,2436,2343],{"encoding":605},[573,2438,2440],{"className":2439,"ariaHidden":611},[610],[573,2441,2443,2446,2449,2452,2455,2458],{"className":2442},[615],[573,2444],{"className":2445,"style":745},[619],[573,2447,723],{"className":2448,"style":749},[624,707],[573,2450,727],{"className":2451},[753],[573,2453,683],{"className":2454},[624],[573,2456,687],{"className":2457},[624,707],[573,2459,732],{"className":2460},[760]," mit ",[573,2463,2465,2486],{"className":2464},[576],[573,2466,2468],{"className":2467},[580],[582,2469,2470],{"xmlns":584},[586,2471,2472,2484],{},[589,2473,2474,2476,2478,2480,2482],{},[599,2475,683],{},[685,2477,723],{},[599,2479,727],{"stretchy":726},[685,2481,687],{},[599,2483,732],{"stretchy":726},[603,2485,898],{"encoding":605},[573,2487,2489],{"className":2488,"ariaHidden":611},[610],[573,2490,2492,2495,2498,2501,2504,2507],{"className":2491},[615],[573,2493],{"className":2494,"style":745},[619],[573,2496,683],{"className":2497},[624],[573,2499,723],{"className":2500,"style":749},[624,707],[573,2502,727],{"className":2503},[753],[573,2505,687],{"className":2506},[624,707],[573,2508,732],{"className":2509},[760]," übereinstimmen.",[994,2512,2513,2514,2548],{},"Das Absolutglied übersehen: Schon ",[573,2515,2517,2533],{"className":2516},[576],[573,2518,2520],{"className":2519},[580],[582,2521,2522],{"xmlns":584},[586,2523,2524,2530],{},[589,2525,2526,2528],{},[599,2527,1604],{},[595,2529,853],{},[603,2531,2532],{"encoding":605},"+1",[573,2534,2536],{"className":2535,"ariaHidden":611},[610],[573,2537,2539,2542,2545],{"className":2538},[615],[573,2540],{"className":2541,"style":866},[619],[573,2543,1604],{"className":2544},[624],[573,2546,853],{"className":2547},[624]," zerstört die Punktsymmetrie zum Ursprung.",[994,2550,2551,2552,2633],{},"Aus „nicht achsensymmetrisch“ auf „punktsymmetrisch“ schließen: ",[573,2553,2555,2577],{"className":2554},[576],[573,2556,2558],{"className":2557},[580],[582,2559,2560],{"xmlns":584},[586,2561,2562,2574],{},[589,2563,2564,2570,2572],{},[592,2565,2566,2568],{},[685,2567,687],{},[595,2569,1443],{},[599,2571,1604],{},[685,2573,687],{},[603,2575,2576],{"encoding":605},"x^2 + x",[573,2578,2580,2624],{"className":2579,"ariaHidden":611},[610],[573,2581,2583,2586,2615,2618,2621],{"className":2582},[615],[573,2584],{"className":2585,"style":1485},[619],[573,2587,2589,2592],{"className":2588},[624],[573,2590,687],{"className":2591},[624,707],[573,2593,2595],{"className":2594},[636],[573,2596,2598],{"className":2597},[640],[573,2599,2601],{"className":2600},[644],[573,2602,2604],{"className":2603,"style":1504},[648],[573,2605,2606,2609],{"style":651},[573,2607],{"className":2608,"style":656},[655],[573,2610,2612],{"className":2611},[660,661,662,663],[573,2613,1443],{"className":2614},[624,663],[573,2616],{"className":2617,"style":1519},[1306],[573,2619,1604],{"className":2620},[667],[573,2622],{"className":2623,"style":1519},[1306],[573,2625,2627,2630],{"className":2626},[615],[573,2628],{"className":2629,"style":798},[619],[573,2631,687],{"className":2632},[624,707]," hat keine der beiden Symmetrien.",{"title":2635,"searchDepth":2636,"depth":2636,"links":2637},"",2,[2638,2639,2640],{"id":561,"depth":2636,"text":562},{"id":1406,"depth":2636,"text":1407},{"id":2312,"depth":2636,"text":2313},[2642,2645,2648,2651,2653,2656],{"lhs":2643,"rhs":2644},"(-x)^3 - 2*(-x)","-(x^3 - 2*x)",{"lhs":2646,"rhs":2647},"sin(-x)","-sin(x)",{"lhs":2649,"rhs":2650},"1\u002F(-x)","-(1\u002Fx)",{"lhs":2652,"rhs":632},"(-1)^3 + 1",{"lhs":2654,"rhs":2655},"-(1^3 + 1)","-2",{"lhs":2657,"rhs":632},"0^3 - 2*0","x \\in D_f \\Rightarrow -x \\in D_f","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsub>\u003Cmi>D\u003C\u002Fmi>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>⇒\u003C\u002Fmo>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsub>\u003Cmi>D\u003C\u002Fmi>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x \\in D_f \\Rightarrow -x \\in D_f\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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