Koj ua haujlwm li cas logarithmic?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

Graphing Logarithmic Functions

1. Cov daim duab ntawm inverse muaj nuj nqi ntawm tej muaj nuj nqi yog qhov kev xav ntawm qhov daim duab ntawm muaj nuj nqi hais txog kab y=x.
2. Cov logarithmic muaj nuj nqi ,y = log b(x), tuaj yeem hloov k units vertically thiab h units horizontally nrog cov kab zauv y = log b(x+h)+k.
3. Xav txog qhov logarithmic muaj nuj nqi y = [ log 2(x+1)-3].

Xav txog qhov no, koj ua li cas cov duab tsis zoo?

Thawj yog thaum peb muaj ib tug tsis zoo kos npe. Thaum qhov no tshwm sim, peb daim duab Nws yuav tig, dhau ntawm y-axis lossis dhau ntawm x-axis. Lub axis uas daim duab flips tshaj nyob ntawm qhov twg tsis zoo kos npe yog. Thaum lub tsis zoo kos npe yog nyob rau hauv qhov kev sib cav rau lub log muaj nuj nqi , cov daim duab tig hla lub y-axis.

Ib yam li ntawd, qhov piv txwv ntawm logarithmic muaj nuj nqi yog dab tsi? Logarithm , tus exponent los yog lub hwj chim uas lub hauv paus yuav tsum tau tsa kom yield ib tug muab. Qhia lej, x yog tus logarithm ntawm n mus rau hauv paus b yog b^x = n, qhov twg ib tug sau x = log_b n. Rau piv txwv , 2³ = 8; yog li ntawd, 3 yog qhov logarithm ntawm 8 rau hauv paus 2, lossis 3 = log₂ 8.

Ib yam li ntawd, logarithmic functions yog dab tsi?

Logarithmic muaj nuj nqi yog cov inverses ntawm exponential muaj nuj nqi . Lub inverse ntawm exponential muaj nuj nqi y = ib^x yog x = a^y. Cov logarithmic muaj nuj nqi y = log_ax yog txhais kom sib npaug rau qhov kev sib npaug exponential x = a^y. y = log_ax tsuas yog hauv qab no: x = a^y, a > 0, thiab a≠1.

Vim li cas peb thiaj siv logarithmic graphs?

Nyob ntawd yog ob lub ntsiab yog vim li cas siv logarithmic scale nyob rau hauv kab kos thiab daim duab . Thawj yog teb rau skewness ntawm qhov tseem ceeb loj; i.e., cov xwm txheej uas ib lossis ob peb lub ntsiab lus yog ntau ntau dua li qhov ntau ntawm cov ntaub ntawv. Qhov thib ob yog los qhia qhov feem pua ntawm kev hloov pauv lossis ntau yam.