Video: Dab tsi yog exponential thiab logarithmic functions?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Logarithmic muaj nuj nqi yog cov inverses ntawm exponential functions . Lub inverse ntawm lub exponential muaj nuj nqi y = ibx yog x = ay. Cov logarithmic muaj nuj nqi y = logax txhais tau tias yog sib npaug rau qhov exponential equation x = ay. y = logax tsuas yog hauv qab no: x = ay, a > 0, thiab a≠1.
Piv txwv li, qhov txawv ntawm exponential thiab logarithmic functions yog dab tsi?
Lub inverse ntawm ib exponential muaj nuj nqi yog a logarithmic muaj nuj nqi thiab inverse ntawm a logarithmic muaj nuj nqi yog ib exponential muaj nuj nqi . Daim ntawv ceeb toom tseem nyob ntawm daim duab uas x tau loj dua thiab loj dua, qhov muaj nuj nqi tus nqi ntawm f(x) yog nce ntau thiab ntau heev.
Dab tsi yog qhov piv txwv ntawm logarithmic muaj nuj nqi? A logarithm yog tus exponent. Ib qho kev qhia exponential tuaj yeem rov sau dua hauv logarithmic daim ntawv. Rau piv txwv Yog tias peb muaj 8 = 23, ces lub hauv paus yog 2, tus exponent yog 3, thiab qhov tshwm sim yog 8. Qhov no tuaj yeem rov sau dua hauv logarithmic form ua. 3 = log 2 8.
Hais txog qhov no, dab tsi yog exponential logarithm?
Los ntawm txhais: log by = x b x = y. Sib raug rau txhua tus logarithm ua haujlwm nrog puag b, peb pom tias muaj ib qho exponential ua haujlwm nrog lub hauv paus b: y = b x. Ib exponential muaj nuj nqi yog inverse ntawm a logarithm muaj nuj nqi.
Ib qho piv txwv ntawm exponential muaj nuj nqi yog dab tsi?
Hauv ib exponential muaj nuj nqi , tus hloov pauv ywj pheej, lossis x-tus nqi, yog qhov exponent , thaum lub hauv paus yog qhov tsis tu ncua. Rau piv txwv y = 2x y exponential muaj nuj nqi . Nov yog qhov uas zoo li. Formula rau ib exponential muaj nuj nqi yog y = abx, qhov twg a thiab b yog qhov qub.
Pom zoo:
Dab tsi yog qhov rov qab ntawm qhov exponential muaj nuj nqi?
Lub inverse ntawm exponential muaj nuj nqi y = ax yog x = ay. Lub logarithmic muaj nuj nqi y = logax yog txhais kom sib npaug rau qhov exponential equation x = ay
Dab tsi quadrant yog inverse trig functions nyob rau hauv?
Lub inverse cos, sec, thiab cot functions yuav rov qab muaj nuj nqis nyob rau hauv lub I thiab II Quadrants, thiab cov inverse sin, csc, thiab tan functions yuav rov qab muaj nuj nqis nyob rau hauv lub I thiab IV Quadrants (tab sis nco ntsoov tias koj xav tau qhov tsis zoo qhov tseem ceeb hauv Quadrant IV. )
Qhov txawv ntawm logistic thiab exponential kev loj hlob yog dab tsi?
Ob qho qauv hais txog cov pej xeem tab sis sib txawv. Ib qho kev sib txawv loj yog qhov kev loj hlob exponential pib qeeb tom qab tuaj tos thaum cov pej xeem nce thaum logistic kev loj hlob pib sai, ces qeeb tom qab ncav cuag lub peev xwm nqa tau
Lub hom phiaj ntawm linear functions yog dab tsi?
Ib txoj haujlwm linear yog ib qho haujlwm uas ua rau cov kab ncaj nraim. Qhov no txhais tau li cas hauv kev ua lej yog qhov ua haujlwm muaj ib lossis ob qhov sib txawv uas tsis muaj tus lej lossis lub zog. Yog tias qhov kev ua haujlwm muaj ntau qhov sib txawv, qhov sib txawv yuav tsum yog qhov tsis tu ncua lossis paub qhov txawv txav rau qhov ua haujlwm kom nyob twj ywm hauv txoj haujlwm
Dab tsi yog qhov txawv ntawm linear exponential thiab quadratic?
Linear, exponential, thiab quadratic functions yuav siv tau los ua qauv phenomena ntawm lub ntiaj teb tiag. Algebraically, linear functions yog polynomial functions nrog lub siab tshaj plaws exponent ntawm ib tug, exponential functions muaj ib tug txawv txav nyob rau hauv lub exponent, thiab quadratic functions yog polynomial functions nrog ib tug siab tshaj exponent ntawm ob