El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\left(\frac{x + 4}{x}\right)^{2} \left(x - 2\right) = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = -4$$
$$x_{2} = 2$$
Solución numérica$$x_{1} = -4.00000109946154$$
$$x_{2} = -4.00000107146133$$
$$x_{3} = -4.00000107940656$$
$$x_{4} = -4.00000064719364$$
$$x_{5} = -4.00000107043483$$
$$x_{6} = -4.00000102448614$$
$$x_{7} = -4.00000108419268$$
$$x_{8} = -4.00000109323124$$
$$x_{9} = -4.00000108427144$$
$$x_{10} = -4.00000109270573$$
$$x_{11} = -4.00000106151069$$
$$x_{12} = -4.00000100987952$$
$$x_{13} = -4.00000110113581$$
$$x_{14} = -4.0000010443054$$
$$x_{15} = -4.00000110162428$$
$$x_{16} = -4.00000107387089$$
$$x_{17} = -4.00000110213814$$
$$x_{18} = -4.0000010526151$$
$$x_{19} = -4.00000109391406$$
$$x_{20} = -4.00000093541155$$
$$x_{21} = -4.00000099010659$$
$$x_{22} = -4.00000109274407$$
$$x_{23} = -4.00000109347177$$
$$x_{24} = -4.00000109023193$$
$$x_{25} = -4.00000109606888$$
$$x_{26} = -4.00000110217603$$
$$x_{27} = -4.0000011003574$$
$$x_{28} = -4.0000010944944$$
$$x_{29} = -4.00000092115724$$
$$x_{30} = -4.00000108519714$$
$$x_{31} = -4.00000109066238$$
$$x_{32} = -4.00000106538789$$
$$x_{33} = -4.00000108066623$$
$$x_{34} = -4.00000108749882$$
$$x_{35} = -4.0000011005884$$
$$x_{36} = -4.00000110171576$$
$$x_{37} = -4.00000108976831$$
$$x_{38} = -4.00000109411776$$
$$x_{39} = -4.00000109211189$$
$$x_{40} = 2$$
$$x_{41} = -4.0000010911873$$
$$x_{42} = -4.00000109686117$$
$$x_{43} = -4.00000109514018$$
$$x_{44} = -4.00000108210741$$
$$x_{45} = -4.00000085613215$$
$$x_{46} = -4.00000103561322$$
$$x_{47} = -4.00000106284992$$
$$x_{48} = -4.00000108872612$$
$$x_{49} = -4.00000109979921$$
$$x_{50} = -4.00000051505902$$
$$x_{51} = -4.00000110079295$$
$$x_{52} = -4.00000106866429$$
$$x_{53} = -4.00000007017802$$
$$x_{54} = -4.00000108603666$$
$$x_{55} = -4.00000110209578$$
$$x_{56} = -4.00000109106292$$
$$x_{57} = -4.00000110127949$$
$$x_{58} = -4.00000105123921$$
$$x_{59} = -4.00000084329587$$
$$x_{60} = -4.00000096228886$$
$$x_{61} = -4.00000109297631$$
$$x_{62} = -4.0000010892678$$
$$x_{63} = -4.00000108930799$$
$$x_{64} = -4.00000108701696$$
$$x_{65} = -4.00000110199569$$
$$x_{66} = -4.00000110204848$$
$$x_{67} = -4.00000108324668$$
$$x_{68} = -4.00000110140761$$
$$x_{69} = -4.00000110187103$$
$$x_{70} = -4.00000108680084$$
$$x_{71} = -4.00000110152202$$
$$x_{72} = -4.0000011022099$$
$$x_{73} = -4.0000010917853$$
$$x_{74} = -4.0000010777943$$
$$x_{75} = -4.00000109369904$$
$$x_{76} = -4.00000109812694$$
$$x_{77} = -4.00000103837573$$
$$x_{78} = -4.00000110097445$$
$$x_{79} = -4.00000098646489$$
$$x_{80} = -4.00000108813837$$
$$x_{81} = -4.00000074306534$$
$$x_{82} = -4.00000109431095$$
$$x_{83} = -4.00000107619728$$
$$x_{84} = -4.00000109863457$$
$$x_{85} = -4.00000110179767$$
$$x_{86} = -4.00000110009593$$
$$x_{87} = -4.00000107596354$$
$$x_{88} = -4.00000110193677$$
$$x_{89} = -4.00000109241812$$
$$x_{90} = -4.00000109754088$$
$$x_{91} = -4.00000101778452$$
$$x_{92} = -4.00000105686925$$
$$x_{93} = -4.00000108083495$$
$$x_{94} = -4$$
$$x_{95} = -4.00000109143639$$
$$x_{96} = -4.00000109404486$$
$$x_{97} = -4.00000109907609$$