Umsebenzi ubo

imisebenzi Nkqu okanye odd yenye iimpawu zayo eziphambili, kunye nokufunda umsebenzi lo zixatyiswe une inxalenye onomtsalane zifundo kwimathematika. Oku kubangelwa kugqiba ukuziphatha wombhiyozo kunye kakhulu lula ukwakhiwa ucwangciso ahambelanayo.

Thina ezichaza umsebenzi ukulingana. Xa sithetha nje ngokubanzi, eli umsebenzi wafundela kuqwalaselwa nokuba sakhangelana amaxabiso umahluko ezimeleyo (x), ukuba domain yayo, kumaxabiso ahambelanayo of y (imisebenzi) bayalingana.

Siya kunika nkcazelo ngqongqo. Cinga umsebenzi f (x), echazwe kwi D. Kuya kuba nokuba nayiphi na indawo x, ukuba elo thambeka kwenkcazelo:

• -x (malunga) Kwakhona ilele egunyeni inkcazelo,

• f (-x) = f (x).

Ukususela kule nkcazelo ifanele ibe ngumqathango oyimfuneko ukuba thambeka loo msebenzi, oko kukuthi, twatsa ngokuphathelele kwindawo O na imvelaphi, ngokungathi kukho ingongoma b iqulethwe kwinkcazelo nokuba umsebenzi, indawo ahambelanayo - b nayo kulele kule ndawo. Ukususela ngasentla, ngoko ke, kulandela sigqibo lude umsebenzi twatsa ngokumalunga nefom ukulawula axis (Oy).

Ekusebenzeni ukuba ukujonga ukubekwa lo msebenzi?

Masithi ubudlelwane ukusebenza okunene uphiwa ngaye h ifomula (x) = 11 ^ x + 11 ^ (- x). Emva algorithm, elandela ngqo kule nkcazelo, sihlolisisa yokuqala endaweni yayo yonke. Ngokucacileyo, oko lochaziweyo onke amaxabiso Kwempikiswano, oko kukuthi, imeko lokuqala luzalisekile.

Inyathelo elilandelayo we shintsha Kwempikiswano (x) intsingiselo yawo malungana (-x).
sifumana:
h (-x) = 11 ^ (- x) + 11 ^ x.
Ekubeni Ukongeza uyazanelisa umthetho zokusebenza zemihla ngemihla (properties), kuyacaca, h (-x) = h (x) kunye ukuxhomekeka olusebenzayo kwangaphambili - nkqu.

Ngaba khangela evenness lomsebenzi h (x) = 11 ^ x-11 ^ (- x). Emva algorithm enye, sifumanisa ukuba h (-x) = 11 ^ (- x) -11 ^ x. Ekubeni nanyamezela thabatha, ngenxa yoko, sinalo
h (-x) = - (11 ^ x-11 ^ (- x)) = - h (x). Ngoko ke, h (x) - limnqakathi.

Phela, kufuneka wakhumbula ukuba kukho imisebenzi abangakwaziyo zihlelwe ngokwale ezi mpawu, zibizwa ngokuba mhlawumbi noba okanye limnqakathi.

imisebenzi bade babe eziliqela iipropati umdla:

• ngenxa ukongeza le misebenzi ezifunyenweyo nangaphezulu;
• ngenxa ukukhupha imisebenzi ifunyenwe nangaphezulu;
• umsebenzi eguqulweyo ngokubaxwa i ngokuhlwa, njengoko zihlwise;
• ngenxa phindo le misebenzi ezimbini ifunyenwe nangaphezulu;
• phinda imisebenzi angumnqakathi wafumana yinqaba;
• ngokwahlula imisebenzi angumnqakathi wafumana yinqaba;
• yemvelaphi lo msebenzi - limnqakathi;
• ukuba ukwakha umsebenzi elingumnqakathi endaweni yembutho, sifumana kanye.

umsebenzi ubo ingasetyenziswa ukusombulula ezi zibalo.

Ukusombulula inxaki of g (x) = 0, apho kwicala lasekhohlo lalenxaki limela nokuba umsebenzi, iya kuba yanele ukufumana isisombululo amaxabiso variable engasiyiyo-. Iingcambu kuphumela kufuneka idibane amanani esahlukileyo. Enye yazo ukuze zitshekishwe.

Oku efanayo impahla umsebenzi isetyenziswa ngempumelelo ukusombulula iingxaki non-eqhelekileyo nge parameter.

Umzekelo, ingaba kukho naliphi na ixabiso parameter a, apho inxaki 2x ^ 6-x ^ 4-izembe ^ 2 = 1 kuya kuba iingcambu ezintathu?

Ukuba sicinga ukuba inxalenye eziguquguqukayo lenxaki emandleni ewe, kucacile ukuba ukususwa x ngu - equation x abazinikwanga ntoni ukutshintsha. Oku kulandela ukuba inani kwingcambu, ke ngoko ke eguqulweyo ngokubaxwa i additive. Esi sigqibo izicacele: neengcambu non-zero, zifakiwe yeseti "isibini" izisombululo zayo.

Kucacile ukuba, lala inani 0 ingcambu lenxaki ayikho, ngamanye inani esineengcambu alenxaki kunokuba kuphela nkqu kunye, ngokwendalo, kuba naliphi na ixabiso parameter ayikwazi, kuba iingcambu ezintathu.

Kodwa ke inani esineengcambu alenxaki 2 ^ x + 2 ^ (- x) = nezixholo ^ 4 + 2x ^ 2 + 2 ukuze engaqhelekanga, yaye naliphi na ixabiso parameter. Eneneni, kulula ukukhangela ukuba isethi esineengcambu alenxaki iqulethe izisombululo "ngababini". Khangela ukuba 0 ingcambu. Xa kufakwe ibe lenxaki, sifumana 2 = 2. Ngaloo ndlela, ngaphandle 'bafundelane ngezibini, "0 njenge ingcambu, nto leyo ibonisa inani labo limnqakathi.