Masharti muhimu Sura ya 10: Kazi za kielelezo na za Logarithmic
- Page ID
- 176545
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|---|---|---|---|---|---|
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| Neno (s) | Ufafanuzi | Image | Manukuu | Link | Chanzo |
|---|---|---|---|---|---|
| kazi ya kawaida ya logarithmic | Kazi\(f(x)=\log{x}\) ni kazi ya kawaida ya logarithmic na base10, wapi\(x>0\). \[y=\log{x} \text{ is equivalent to } x=10^y\] | ||||
| kazi ya logarithmic | Kazi\(f(x)=\log_a{x}\) ni kazi ya logarithmic na msingi\(a\), wapi\(a>0\),\(x>0\), na\(a≠1\). \[y=\log_a{x} \text{ is equivalent to } x=a^y\] | ||||
| kazi ya asili ya logarithmic | Kazi\(f(x)=\ln(x)\) ni kazi ya asili ya logarithmic na msingi\(e\), wapi\(x>0\). \[y=\ln{x} \text{ is equivalent to } x=e^y\] | ||||
| isiyo ya kawaida | Mstari ambao graph ya kazi inakaribia kwa karibu lakini kamwe inagusa. | ||||
| kazi ya kielelezo | Kazi ya kielelezo, wapi\(a>0\) na\(a≠1\), ni kazi ya fomu\(f(x)=a^x\). | ||||
| msingi wa asili | idadi\(e\) hufafanuliwa kama thamani ya\((1+\frac{1}{n})^n\), kama\(n\) anapata kubwa na kubwa. Tunasema, kama\(n\) ongezeko bila kufungwa,\(e≈2.718281827...\) | ||||
| kazi ya kielelezo ya asili | Kazi ya kielelezo ya asili ni kazi ya kielelezo ambayo msingi wake ni\(e\):\(f(x)=e^x\). Kikoa ni\((−∞,∞)\) na upeo ni\((0,∞)\). | ||||
| kazi moja kwa moja | Kazi ni moja kwa moja ikiwa kila thamani katika upeo ina kipengele kimoja katika kikoa. Kwa kila jozi kuamuru katika kazi, kila\(y\) -thamani ni kuendana na moja tu\(x\) -thamani. |