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Eksponentielle funktioner

Authored by Iben Hvass

Mathematics

10th - 11th Grade

Used 18+ times

Eksponentielle funktioner
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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Hvad er den generelle forskrift for en eksponentiel funktion?

f(x)=a⋅bxf\left(x\right)=a\cdot b^x

f(x)=ax2⋅bx+cf\left(x\right)=ax^2\cdot bx+c

f(x)=b⋅axf\left(x\right)=b\cdot a^x

f(x)=ax+bf\left(x\right)=ax+b

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Hvad er r?

Funktionens begyndelsesværdi?

Funktionens relative tilvækst?

Funktionens grundtal?

Funktionens fremskrivningsfaktor?

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Hvad skal mit a være for at funktionen er voksende?

a<1

a=1

a>1

a>0

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Hvad skal mit a være for at funktionen er aftagende?

0<a<1

a>0

a<0

1<a<5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Løs ligningen

 7⋅0.6x=27\cdot0.6^x=2  

x=2,1

x=2,9

x=2,75

x=2,45

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Hvad er formlen for fordoblings- og halveringskonstanten?

T2=ln⁡(2)ln⁡(b)T_2=\frac{\ln\left(2\right)}{\ln\left(b\right)} og T12=ln⁡(12)ln⁡(a)T_{\frac{1}{2}}=\frac{\ln\left(\frac{1}{2}\right)}{\ln\left(a\right)}

T2=ln⁡(2)ln⁡(a)T_2=\frac{\ln\left(2\right)}{\ln\left(a\right)} og T12=ln⁡(12)ln⁡(b)T_{\frac{1}{2}}=\frac{\ln\left(\frac{1}{2}\right)}{\ln\left(b\right)}

T2=ln⁡(2)ln⁡(b)T_2=\frac{\ln\left(2\right)}{\ln\left(b\right)} og T12=ln⁡(12)ln⁡(b)T_{\frac{1}{2}}=\frac{\ln\left(\frac{1}{2}\right)}{\ln\left(b\right)}

T2=ln⁡(2)ln⁡(a)T_2=\frac{\ln\left(2\right)}{\ln\left(a\right)} og T12=ln⁡(12)ln⁡(a)T_{\frac{1}{2}}=\frac{\ln\left(\frac{1}{2}\right)}{\ln\left(a\right)}

7.

OPEN ENDED QUESTION

3 mins • Ungraded

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