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Eksponentna funkcija

Authored by Tjaša Stepančič

Mathematics

11th Grade

Used 10+ times

Eksponentna funkcija
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10 questions

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1.

MULTIPLE SELECT QUESTION

20 sec • 1 pt

 Katera izmed funkcije je naraščajoča? Izberi vse pravilne odgovore.


  
 

 f(x)=e−xf\left(x\right)=e^{-x}  

 f(x)=(13)xf\left(x\right)=\left(\frac{1}{3}\right)^x  

 f(x)=(10,4)xf\left(x\right)=\left(\frac{1}{0,4}\right)^x  

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Določi asimptoto funkcije f(x)=14⋅3(x+1)+2f\left(x\right)=\frac{1}{4}\cdot3^{\left(x+1\right)}+2  .


 y=2y=2  

 x=2x=2  

 y=−1y=-1  

 x=−1x=-1  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Določi osnovo eksponentne funkcije  f(x)=axf\left(x\right)=a^x  , če njen graf poteka skozi točko  (12, 3)\left(\frac{1}{2},\ 3\right)  .

 a=3a=3  

 a=81a=81  

 a=9a=9  

 a=13a=\frac{1}{3}  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Funkcija f(x) = 3(2x−1)−13f\left(x\right)\ =\ 3^{\left(2x-1\right)}-\frac{1}{3}  ima ničlo


 x =1x\ =1  

 x=12x=\frac{1}{2}  

 x=2x=2  

 x=0x=0  

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Funkcija f(x)=−5x+4f\left(x\right)=-5^x+4  ima začetno vrednost


4

3

-1

0

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Media Image

Osnova eksponentne funkcije na sliki je

a=4a=4

a=14a=\frac{1}{4}

a=13a=\frac{1}{3}

a=−4a=-4

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Rešitev enačbe 4x : 18=2(2x−3)4^x\ :\ \frac{1}{8}=2^{\left(2x-3\right)}  je


x=1x=1  

enačba nima rešitve

vsak x je rešitev

x=0x=0  

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