El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$e^{- \left|{x}\right|} x = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = 103.412938828373$$
$$x_{2} = -103.10407015753$$
$$x_{3} = 85.4703620749206$$
$$x_{4} = -37.7592416454249$$
$$x_{5} = 32.3772961851972$$
$$x_{6} = 38.0568716419232$$
$$x_{7} = 55.67586733869$$
$$x_{8} = -59.3262172000187$$
$$x_{9} = 101.418161552262$$
$$x_{10} = 105.407942520376$$
$$x_{11} = -99.1148331129772$$
$$x_{12} = -87.1541152286569$$
$$x_{13} = 113.389949729147$$
$$x_{14} = 45.8319875396224$$
$$x_{15} = 75.5166588459953$$
$$x_{16} = 109.398572537176$$
$$x_{17} = -71.2319064024203$$
$$x_{18} = -39.6870583075465$$
$$x_{19} = -55.369883839131$$
$$x_{20} = 87.4626045093137$$
$$x_{21} = 65.580821222158$$
$$x_{22} = 95.4353540260187$$
$$x_{23} = -51.4230249783974$$
$$x_{24} = 41.9272307499711$$
$$x_{25} = -35.8463765939876$$
$$x_{26} = 71.5396566043977$$
$$x_{27} = 51.7281686335153$$
$$x_{28} = -43.5740005056864$$
$$x_{29} = 99.4236264980399$$
$$x_{30} = -85.1619388762717$$
$$x_{31} = -49.4541901054407$$
$$x_{32} = -115.076847342498$$
$$x_{33} = 79.496455118891$$
$$x_{34} = -63.2896724119287$$
$$x_{35} = 115.385891060967$$
$$x_{36} = -33.9540517145623$$
$$x_{37} = 119.378231552779$$
$$x_{38} = 39.9866376954424$$
$$x_{39} = -111.085180982879$$
$$x_{40} = 0$$
$$x_{41} = -89.146704685936$$
$$x_{42} = 43.8762545098096$$
$$x_{43} = 91.4482816547886$$
$$x_{44} = -119.06914228288$$
$$x_{45} = -101.109329237227$$
$$x_{46} = -67.2586229734047$$
$$x_{47} = 81.4872456640903$$
$$x_{48} = 53.7006804984823$$
$$x_{49} = 117.381987933686$$
$$x_{50} = 73.5277731870455$$
$$x_{51} = 47.7931569932505$$
$$x_{52} = -91.1396752246407$$
$$x_{53} = 93.4416565533312$$
$$x_{54} = 89.4552548670559$$
$$x_{55} = 57.6533514231885$$
$$x_{56} = -97.1205993527235$$
$$x_{57} = -65.2735421114241$$
$$x_{58} = 49.758798960419$$
$$x_{59} = -73.2198969347223$$
$$x_{60} = -95.1266472537626$$
$$x_{61} = 61.614029218278$$
$$x_{62} = -113.080930865701$$
$$x_{63} = -79.1882678183563$$
$$x_{64} = 63.5967547129854$$
$$x_{65} = -117.072920781941$$
$$x_{66} = -61.3071694941258$$
$$x_{67} = 59.6328238138969$$
$$x_{68} = 36.1413894508705$$
$$x_{69} = -81.1789726997072$$
$$x_{70} = 121.374613775997$$
$$x_{71} = -105.099039845199$$
$$x_{72} = -93.1329980618501$$
$$x_{73} = -41.6261544568938$$
$$x_{74} = 34.2454094695441$$
$$x_{75} = -57.3470343910748$$
$$x_{76} = -121.065503606275$$
$$x_{77} = -53.3950840173982$$
$$x_{78} = -77.1981473783759$$
$$x_{79} = 107.40315817241$$
$$x_{80} = -69.2447823410302$$
$$x_{81} = 67.5660769899711$$
$$x_{82} = 69.5523925194344$$
$$x_{83} = -47.4891864944529$$
$$x_{84} = -75.2086687051389$$
$$x_{85} = 83.4785626915261$$
$$x_{86} = 77.5062407712727$$
$$x_{87} = -109.089608132217$$
$$x_{88} = 97.429350983852$$
$$x_{89} = -107.094223645316$$
$$x_{90} = -83.1702113647074$$
$$x_{91} = -32.0913241206348$$
$$x_{92} = -45.5287883412543$$
$$x_{93} = 111.394173451874$$